Методы подсчета конечных совокупностей, графы и сетевые структуры, основы дискретной математики.


375 публикаций

Нажмите рядом со статьёй — скопируете ссылку для списка литературы по ГОСТ.

Log-Sobolev under random monotone censoring
Almost-perfect packings and Tuza's conjecture in the random geometric graph
Extremal problems on the $p$-Seidel energy of graphs
A Counterexample to Wegner's Conjecture for Axis-Parallel Rectangles
Persistence diagrams of random triangular matrices over finite fields
An alternative way of defining finite graphs
Principal minors of effective-resistance matrices and local resistance radii
On the Counting Sequence of Z-convex Polyominoes
Brave new categorical spectral positive Schubert geometry and the categorical Dual Amplituhedron
Schur rings over cyclic groups having Almost Commutative Terwilliger algebras
Explicit thresholds in a generalized Turán problem for \(K_{3,t}\)-free graphs
Classical freeness of $\widehat{\mathfrak{sl}}_n$ at level $1$ via combinatorics
Encoding Phylogenetic Networks with Least Common Ancestor Constraints
The independence number of uncrowded hypergraphs: bounds matching the shattering threshold
Perfect Sphere Packing In The Boolean Space
Very large cliques in a scale-free random graph
Monadic dependence from reducts, and applications to twin-width of oriented graphs
Characterization and chromatic number of triangle-free graphs with diameter 2
Bounded Bruhat intervals and affine Coxeter groups
A sharp bound on the integrality gap in the 3-set cover problem
Canonical Ramsey theorem for graphs with clean intersections
Multisymmetric polynomials on set-theoretic quiver representations
A coarse Menger theorem for hyperbolic graphs, finitely presented groups, and more
A construction method for 2-phase and 4-phase Golay Complementary Sequences
Typical intersecting families are trivial
On monoids up to symmetry
On independent sets in uncrowded uniform hypergraphs
On the Relationships between Domination, Isolation, and Packing
Universal probability bounds for partial Latin squares
On zero-sum problems of two new types
Decomposing tournaments into comparability graphs
Ternary public-key cryptosystem
Quasi-kernels in Hereditary Classes and Applications to Break
Obstructions and kernel transport for Hecke lifts of partition q-brackets
Non-trivial cross-$t$-intersecting families for vector spaces with the maximum sum of sizes
On the chromatic number and equilateral dimension of $\mathbb{R}^n$ with the tropical norm
Coarse Balanced Separators in Biclique-Induced-Minor-Free Graphs
Optimality of Random Regular Graphs in Sparse Network Designs
A unimodular bijection between harmonic vectors of 2-isomorphic graphs
Constructor--Blocker games forbidding even cycles
Small $q$-kernels in digraphs with minimum in-degree $δ$
Grassmannian quantum cohomology in the infinite limit and total positivity
Symmetric Extension Complexity of the Spanning Tree Polytope
The exact value of the Ramsey number $R(K_4-e,K_7)$
A continuous kernel method for affine Motzkin paths: boundary traces, height shifts, and secant-power hierarchies
Graph recovery from partial information
Inclusion graph of annihilators in a commutative ring
Spectral extremal graphs for even factors
Compact graphs and quantum automorphisms
The Gröbner Version of White's Conjecture is False
Rainbow cycles in triangle-free graphs
Designing Efficient and Reachable Routes: The $k$-Step-Central Shortest Path Problem
k-Convex Polyominoes by Semi-perimeter
Frequencies of Patterns in Smooth Sequences Over the Alphabet $\{1,3\}$
The Genesis Sequence, Tree Records and Endofunctions
Note on the Maximum Number of Trees Displayed by a Tree-Child Network
Pairwise Compatibility Representations of Multidimensional Grid Graphs
Maximal matroids and counterexamples
An Exposition of Five Candidates Suffice for a Majority
Permanental Inequalities and Unit Interval Orders
A $q$-analogue of the rational normal curve and linearized Reed-Solomon codes
Monotonicity of the rank functions for concave compositions
The Curious Case of Reversible Elementary Second Order Cellular Automaton 115
(Un)ranking Permutation Classes
Exhaustive Generation of Genus-One Knot and Link Diagrams via Maps on the Torus
A Class of Multiparameter Signless Stirling Numbers of the First Kind and their $q$-Analogues
Monochromatic $k$ in a row
A bijection on balanced words reversing both $\text{des}$ and $\text{maj}$
On perfect flag-rank metric codes
Trace spectra of simplices in large sets
Discrete Mathematics with Graph Theory
Reflective Numeration Systems I: a Global Standpoint
Almost balanced ordered biclique covering of graphs
EL-Shellability of the poset of ranked cactuses
The Size of the Intersection of $q$-ary Hamming Balls
Superspace coinvariants and inverse systems for $GL_n(\mathbb{F}_q)$
Measurable matchings in unbalanced graphs
Extremal results on the second largest eigenvalue of graphs with given order
Upper bounds of the second largest eigenvalue of graphs
Beating Product Constructions for Linear Equations Over Finite Fields
On Brouwer's Laplacian conjecture
Prescribed leftover chords and one-extra-edge Berge pancyclicity
Split primes and the Elekes-Rónyai problem
Growth of Approximate Groups in Hyperbolic Groups
A local bijection between alternating sign matrices and descending plane partitions and a Striker--Fulmek-type $q$-statistic
On the sunflower property and the galah property
Algebraic cobordism rings of wonderful varieties and matroids
The censored stochastic six-vertex model and parabolic Kazhdan--Lusztig $R$-polynomials
On partially matchable subspaces in a field extension
k-Anonymity by Partitions Maximizes Perfect Matchings
$e$-positive partitions for chromatic symmetric functions
Further evidence towards the Fourier Entropy-Influence conjecture
Graph Theory
Connectivity of Districting Metagraphs
On the Complexity of the Bi-infinite Post Correspondence Problem
Enumerating tuples of spanning trees
The relaxation complexity of the standard simplex is logarithmic
On a conjecture of Las Vergnas
Forbidden Intersection Theorems for Matrix Spaces
Entanglement from Expansion: High Rank-Width in Deterministic Graphs
Alternative Inductive Proof of Dilworth's Theorem
There are matroid toric ideals without quadratic Gröbner bases
Edge-regular graphs with non-negative curvature have polynomial growth
On the maximum and negative frustration indices of graphs
Enumeration of certain subsets of uprooted trees and spherical parking functions
Sharp bounds on $k$-wise generalizations of oddtowns and eventowns
A general bound on $R(C_k,H)$
A Proof of Nash-Williams' Conjecture
Distribution of Sandpile groups of random directed bipartite graphs
On the Spectra of Digraph Laplacians
Domination in Johnson graphs J(n, 3) for odd n
On a Conjecture of Shapiro
Almost balanced ordered biclique covering of graphs
Kikuchi Graphs of Random Hypergraphs are Approximately Johnson
Two Families of $q$-Supercongruences from Watson's Transformation
On the Duke--Erdős--Rödl Problem at the One-Third Threshold
Cubic graphs, $S$-minors and conformal minors
Many holes but no large one: maximizing $k$-holes while forbidding $(k+1)$-holes
Pairwise meets of antichains in $\mathbb{Z}^d$
A complete characterization of a family of permutation trinomials over $\mathbb F_{p^2}$
Area and water-capacity statistics for upper hulls of Dyck paths
$\mathbb Z$-Ramsey ultrafilters
Biclique decompositions from Welzl orders
On the generalized Turán number of complete bipartite graphs
A Remark on the Odd Area of Unit Disks
Discrete-time treatment number of binary trees
Normal Ordering and Stirling-Type Combinatorics for Double Ore Extensions of Type (14641)
Improved bounds on the b-chromatic number using the independence and chromatic numbers
Dirac subgraphs of powers of cycles are Hamiltonian
Minimal Posets Realizing \texorpdfstring{$\mathbb{Z}_2 \times \mathbb{Z}_4$} as Automorphism Group
The singular cohomology ring of a uniform matroid: combinatorics and Lefschetz properties
Non-trivial Intersection Problems for Multi-part Hypergraphs
Tighter Bounds on the Degree-Truncated Choice Number of Planar Graphs
Erdős-Hajnal beyond the five-vertex path
Generating 2-Gray codes for grand Motzkin paths and grand Dyck paths with air pockets in constant amortized time
Impartial geodetic removing games on graphs
An automated proof that R(B_8,B_10)=37
Torsoids in Path-Like Graphs without nontrivial even 2-separation
On Isomorphism theorem of the Comparability Graph of Lattices
The sorting-Denert statistic
Stacking and Clearing in Directed Graph Pebbling
Tree-Based Formalization of Multi-Agent Complementarity in Human-AI Interactions
Benchmarks in Leipzig
Frayed Demazure weaves for Poisson-compatible cluster structures on Bott--Samelson charts
On graphs whose cycle space is spanned by their Hamilton cycles
A new family of distances over partially ordered sets
Periodic discrete graphs with prescribed spectrum
Perverse filtration on Hilbert schemes via upward flow
One Adaptive Trailing Head Can Outperform Many Oblivious Trailing Heads
The NF-operator and the NF-Numbers of Simplicial Complexes
Remarks about the Moebius-Kantor graph
A unified abstract regularity lemma
Temporal matching in trees
An Iwasawa-type asymptotic formula for multiple $\mathbb{Z}_p$-coverings of graphs
On the maximum size of $(a,b)$-town (mod $k$) families
On the prime field spherical restriction conjecture in four dimensions: breaking the Stein-Tomas exponent and applications
A Balancing Theorem for Spanning Trees of Rectangular Grid Graphs
Pinning on Tight Cuts: Improved Algorithm and Bounds for Unsplittable Multicommodity Flows in Outerplanar Graphs
Layerwise Terminal Discrepancy in Chen's Reverse-Heat Coupling on the Boolean Cube
Combinatorial and analytic aspects of independence polynomials of zero divisor graphs
Temporal Cliques Admit Linear Spanners
Elements of Combinatorics
Tree-partitions of graphs with given pathwidth
Efficient Algorithms for Interdicting Facilities in Trees and Bounded Treewidth Graphs
Small-scale operations on graphic sequences
Counterexamples to Robichaux's conjecture for Grothendieck polynomials
Exact Sampling of Permutations with a Fixed Longest Increasing Subsequence
Exact Leaf Powers on Cycles, Ladders, Crowns, and Multipartite Block Graphs
Counting Hamiltonian paths between prescribed vertices in traceable graphs with a forbidden induced subgraph
Token-sliding realizability for complements, Cartesian-products, and grid graph families
A Graph-Based Method for Invariant Densities of Multidimensional Continued Fractions
Cayley graphs of quasirandom groups
Kusner's conjecture: Exact values and linear bounds
Towards fast computation of higher discrete homology
Further evidence towards the Fourier Entropy-Influence conjecture
$(P,φ)$-Tamari and higher torsion lattices of type $\mathbf{A}$
The inducibility of 6-vertex graphs
Capacitated power dominating set problem: a solution approach based on forbidden propagation sets
Harmonious Colorings: bounds, heuristics and integer-linear formulations
Super-linear Lower Bounds for CSP Non-Redundancy via Shrinking Instances
Two-disjoint-cycle-cover vertex pancyclicity of split-star networks
Computational and Combinatorial Results on Conflict-free Choosability
The Path-Extremal Conjecture for Zero Forcing: Distance-Hereditary Graphs and a Split-Decomposition Reduction
A coarse Menger's Theorem for planar and bounded genus graphs
On Modular Invariants of Truncated Polynomial Rings
Degree shifts between q-deformed friezes and q-Farey labelings for general triangulations
Universality for rainbow oriented cycles in perturbed digraphs
Constraining Conformal Correlators
Ramsey-Turán theory for partially-ordered sets
Randomized Max-Vertex-Cover Interdiction with Matroid Constraints
Locally anti-blocking $\mathbf{g}$-polytopes for flow polytopes
Above and below
The list r-hued coloring of trees and unicyclic graphs
Sufficient conditions for fractional $k$-factor-critical graphs with minimum degree to be $k$-factor-critical
The Decycling Number of Cubic Planar Graphs
Hadwiger's Conjecture for $\{\text{co-claw}, \text{co-gem}\}$-free graphs and $\{\text{fork}, \text{antifork}\}$-free graphs
Almost Affine Vector Rank-Metric Codes
Ten Squares Force an Overlap
Dichotomy study of the Steiner tree problem in split-like graphs
On abelian periodicity of purely morphic words
Graph Theory
A note on the Alon-Saks-Seymour problem
Jump and Gradient Invariants in the Partition Graph
Positional Identifiability from Pairwise Collision Data
Maximum Probability of Independence in Transitive Matroids
The mex statistic on combinatorial structures
On hyperbolic corners and unit-area triangles in planar sets of large measure
Linear and matrix generalizations of some combinatorial min-max theorems
Short proofs of three combinatorial results in the Johnson scheme
Cutoff profiles for conjugacy invariant random walks on symmetric groups
Limiting distributions of triangle counts in linear preferential attachment models
The sum-product conjecture is false for real numbers
Nearly tight exponents for off-diagonal Ramsey numbers
Mixed thresholds in the Lonely Runner Conjecture
Graphs with girth 8 and without longer even holes are 3-colorable
Proofs of Two Positivity Conjectures of Guo
Defining sets which intersect each Latin trade at least twice
Exponential Lower Bounds for the Pfaffian Number of Graphs
Soft Tuy-Completeness for Robust Projection Selection in Cone-Beam CT
An $Ω(n \log n)$ Randomized Lower Bound for Cutting a Cake into Proportionally Fair Pieces
Betti numbers for cochordal zero-divisor graphs of commutative rings
Computing Lower Bounds on the Nonnegative Rank via Non-Convex Optimization Solvers
Spectral Sidorenko inequalities and edge-spectral supersaturation
Euclidean Steiner Shallow-Light Trees in Higher Dimensions
A Degree-Preserving Builder--Chooser Game
Sum of the $k$ Largest Eigenvalues of Symmetric Matrices: Theory and Applications
Two Arc-Disjoint Hamiltonian Paths in Finite Two-Generated Abelian Cayley Digraphs
Relations between categorifications of higher-dimensional type $A$ cluster combinatorics
Explicit class of finite-dimensional polynomial algebras with Wronskians over $\mathbb{R}^d$ as $N$-ary Lie brackets: beyond $\mathfrak{sl}(2)$
Triangle Families with Large Edge Up-Laplacian Spectral Gap
Hurwitz numbers of a fixed partition (m, 1^{n-m}) via enumeration of unrooted hypermaps
Asymptotic probability of irreducibles III: Anti-SEQ
The size of the spanning-tree spectrum of simple graphs
Mixed Unit Interval Bigraphs : A Characterization
Amply regular graphs with $μ$ close to half the valency and group divisible designs
Sharper Ramsey lower bounds from refined Gaussian estimates
$K_{2,t+1}$-free graphs with many copies of $K_{t,t}$
2 Set theory
Equality in a Reverse Minkowski Shell Bound for Integral Lattices via Spherical Designs
Slow Convergence of Ising and Spin Glass Models with Well-Separated Frustrated Vertices
Weighted Clique and Independent Set in Edge-Distant Hereditary Graphs
Characterization of Word-Representable Near-Triangulations
Simultaneous Periods for Families of Rational Maps Modulo Primes
The Syntax Of Polytopal Projections: From Permutohedra To Associahedra
The $Δ$ property: a bridge between split graphs and Number Theory
Pal's permanent conjecture: proof for block uniform matrices
On the maximal dimension of an irreducible representation of the symmetric group
Random Permutations from Bott-Samelson Varieties
Extremal $t$-intersecting Families of Permutations for Large $t$
A finite-board reduction for the Erdős Matching Conjecture and the 4-uniform case via exact certificates
Coarse Menger property of quasi-minor excluded graphs and length spaces
The Dominating 4-Colour Theorem
Optimal Repair Bandwidth and Repair I/O of $(n,n-2,2)$ MDS Array Codes
The Weighted Tower of Hanoi: Algebraic Structure, Phase Transitions, and Integer Sequences
The Symmetries of Three-Layer ReLU Networks
Generalizing OOOOOOB
Functional codes arising from rank $n$ Hermitian varieties and hypersurfaces in low dimensions
Localized Turán-type inequalities for $Q$-index
Higher Rank-Support Weights and q-Polymatroids
Optimal Vector Balancing for Zonotopes
Constructions of Rank-Metric Codes of Small Tensor Rank
A linear upper bound on the $\mathbb{Z}_p$-Ramsey number of graphs with sufficiently large $2$-packing
A single $3$-graph with infinite stability number
Fractional Vertex Arboricity of Graphs
Combinatorics
On degree bounds of $k$-uniform hypergraphs with bounded matching number
Optimal Hardness of Online Algorithms for Large Common Induced Subgraphs
Packing chromatic critical graphs with radius at most 2
Tree-independence number of $P_5$-free graphs with no large bicliques
Brik's sequence: a strange recursion
A Combinatorial Framework for the Pons-Batle Identity: Young Tableaux, Lattice Paths, and Limit Laws
Parameterized Local Search for Vertex Cover: When only the Search Radius is Crucial
Graph-theoretic and polyhedral combinatorics issues and approaches in imaging sciences
Path-Minimality of $p$-Energy for Connected Graphs
Fermionic matrices and super Cayley--Hamilton algebras
Grove polynomials and $K$-theoretic quasisymmetry
Betti Numbers of Cut Complexes of Squared Paths and a Recurrence Conjecture
Planarizing Gadgets for (k, l)-tight Graphs Do Not Exist
Diagonal Ramsey numbers for wheels
Segre Varieties and Desarguesian Spreads
Polylogarithmic Bounds for Nested Cycles without Geometric Crossings
String C-groups of 2-power order project onto a common string C-group
Graphs from quadratic forms and vector spaces over finite fields
Minimum Sum Set Cover: Structures and Algorithm
On weighted partial triangulations of convex polygons
A Simple Sub-Polynomial Degree Coboundary Expander
Extremal infinite graph theory
Remarks on the disproof of the unit distance conjecture
Extremal structure in dense arrangements of $k$-intersecting curves
Oriented Discrepancy of The Square of Hamilton Cycles
Pythagorean walks on $\mathbb{Z}^2$
Contractible Edges in a k-Connected Graph
Small Matrices with Small Inverses: Unimodular Zerofree Cases
The generating function of A348410 in OEIS using the diagonal method
Ramsey properties for tilings in random graphs
Thresholds for geometric graphs
Counting Graph Homomorphisms
Lattice Theory
Short Proofs in Algebraic and Enumerative Combinatorics
Locally Semi-Equitable Colourings of BIBDs
Haiman's Conjecture and Springer's Representations
Hypercube geodesics with few colour changes
Basic Combinatorics: The Art of Counting Without Counting
Statistics of a multi-factor function from its Fourier transform
Word-Representability of Shift Graphs
Optimizing Travel Time and Regenerative Energy for Periodic Timetables
A Polynomial Kernel for Vertex Deletion to the Scattered Class of Proper Interval Graph and Trees
Maximum Entropy of Sums of Independent Ternary Random Variables
Feedback vertex sets of planar digraphs with fixed digirth
Max-tree for d-permutations and pattern avoidance
The base size of vertex-transitive cubic graphs
Graph Theory
Faster Mixing for Triangulations via Transport Flows
Hamilton decompositions of all directed tori at odd modulus
Boolean--Eulerian numbers
Three short proofs of Mathar's 2014 conjecture for OEIS A002627
Bounds on the Number of Modes of a Gaussian Mixture Density
Note on the codegree version of the Erdős--Ko--Rado theorem
On Occurrence-Preserving Morphisms
Fractional Helly property and combinatorics of forking in NTP$_2$ theories
Explicit entropy bounds for symmetric nearest-neighbor subshifts
Diameters and mixing times for giant components of random graphs with given degrees
On Small Folkman Graphs Arrowing $K_2$ or $K_3$
An explicit algebraic generating function for OEIS A348410
Recursive upper bounds for the vertex online Ramsey game with applications to hypergraph Ramsey numbers
Homomorphisms in Graph Property Testing
Guest Editors for : Third Haifa Workshop on Interdisciplinary Applications of Graph Theroy, Combinatorics & Algorithms
Computational discrete mathematics: combinatorics and graph theory with Mathematica
The Kauffman Bracket Polynomial of Links and Universal Signed Plane Graph
6 Probability theory
Algorithmic Graph Theory
Algebraic Combinatorics
Thinned Quantile Shares are Universally Feasible
On the Architectural Complexity of Neural Networks
More on the Erd\H os--Kleitman problem on matchings in set families
A Separation Between Optimal Demand-Oblivious and Demand-Aware Network Throughput
Appendix
Graph Representation
Preface: Graph theory and combinatorics
Basic Combinatorics
The Third Haifa Workshop on Interdisciplinary Applications of Graph Theory, Combinatorics, and Algorithms
Discrete Probability
An excluded minor theorem for the 6-wheel
New Bounds for Integer Flows and Verma Modules, via Denormalized Lorentzian Laurent Series
Extended Abstract: Canonical join complex and cubical coordinates for all framing lattices
Enumerative Combinatorics and Shannon's Theory of Discrete Noiseless Channels
Subgraph trees in graph theory
Special Issue dedicated to Workshop on Graph Spectra, Combinatorics and Optimization (WGSCO2018), Aveiro, Portugal, January 2018
Optimal Bounds for the k-Disjoint Paths Problem
Clique-width and induced topological minors
Exploration of $k$-edge-deficient temporal graphs in linear time
On the parameterized complexity of Broadcast Independence and Broadcast Packing
Hardness of Burning Number Problem on Regular Graphs
The spectral radius of $k$-chromatic $r$-graphs
Uniquely 2-colourable 4-cycle decompositions
Perturbation of the largest matching root of hypergraphs
On the redundancy of transitivity constraints in the clique partitioning problem
Vertex connectivity of the nonzero nonunit core of the comaximal graph of $\mathbb Z_n$
The Banach-Butterfly Invariant: Influence-Adaptive Walsh Geometry for Ternary Polynomial Threshold Functions
Relation Algebra Representations from Distance-Regular Graphs
Problems from the Discrete to the Continuous
A study on Type-2 isomorphic circulant graphs. PART 9: Computer programs to show Type-1 $\&$ -2 isomorphic circulant graphs
Counting symmetric unimodular triangulations
Counterexamples to a Conjecture on Laplacian Ratios of Trees
Generalization and Probabilistic Proofs of Some Combinatorial Identities
Semi-interlaced polytopes
Inhomogeneous $q$-Whittaker polynomials II: ring theorem and positive specializations
Almost Affine Invariance Over Prime Fields: Green Problem 90
Nonexistence of certain classes of generalized bent functions: Revisiting the element partition method
Discrete Helly-Type Theorems for Pseudohalfplanes
Quantum Fractional Revival and Entanglement Entropy in Unitary Cayley Graphs
Distance Reduction in Bouquet Decompositions and Toric Ideals of Graphs
When Does the Dice Sum Become Prime?
Helmholzian Spectra of Graphs: Novel Properties
A combinatorial model for the canonical join complex of alt $ν$-Tamari lattices