This book collects the extended abstracts of the accepted contributions to Euro Comb21. A similar book is published at every edition of Euro Comb (every two years since 2001) collecting the most recent advances in combinatorics, graph theory, and related areas. It has a wide audience in the areas, and the papers are used and referenced broadly.
Inhaltsverzeichnis
Size of local finite field Kakeya sets.- Coloring of Graphs Avoiding Bicolored Paths of a Fixed Length.- Nested cycles with no geometric crossings.- Cut vertices in random planar graphs.- Extremal density for sparse minors and subdivisions.- Enumerating descents on quasi-Stirling permutations and plane trees.- Hamiltonicity of randomly perturbed graphs.- The largest hole in sparse random graphs.- On 13-Crossing-Critical Graphs with Arbitrarily Large Degrees.- Local convergence of random planar graphs.- Some results on the Laplacian spectra of token graphs.- On the Number of Compositions of Two Polycubes.- Halin’s end degree conjecture.- Coloring Circle Arrangements: New 4-Chromatic Planar Graphs.- A Short Proof of Euler–Poincaré Formula.- Approximate MDS Property of Linear Codes.- A SAT attack on higher dimensional Erd/H{o}s–Szekeres numbers.- Improved bounds on the cop number of a graph drawn on a surface.- Stability of Berge-hypergraphs]{Stability of extremal connected hypergraphs avoiding Berge-paths, (extended abstract).- On tangencies among planar curves]{On tangencies among planar curves with an application to coloring L-shapes.- Semi-random process without replacement.- The intersection spectrum of 3-chromatic intersecting hypergraphs.- On ordered Ramsey numbers of tripartite 3-uniform hypergraphs.- Hypergraphs with minimum positive uniform Turan density.- Rainbow cliques in randomly perturbed dense graphs.- Universal singular exponents in catalytic variable equations.- The expected number of perfect matchings in cubic planar graphs.- Gallai-Ramsey number for complete graphs.- On the dichromatic number of surfaces.- Supersaturation, counting, and randomness inforbidden subposet problems.- Path decompositions of tournaments.- Sorting by shuffling methods and a queue.- Circular coloring of signed bipartite planar graphs.- Results on the Graceful Game and Range-Relaxed Graceful Game.- New bounds on the modularity of Johnson graphs and random subgraphs of Johnson graphs.- On Bipartite Sum Basic Equilibria.- Characterization and enumeration of preimages under the Queuesort algorithm.- On off-diagonal ordered Ramsey numbers of nested matchings.- Bounds on half graph orders in powers of sparse graphs.- The homotopy type of the independence complex of graphs with no induced cycles of length divisible by $3$.- The Maximum Number of Paths of Length Three in a Planar Graph.- Strongly Pfaffian Graphs.- Strong modeling limits of graphs with bounded tree-width.- Loose cores and cycles in random hypergraphs (extended abstract).- Building a larger class of graphs for efficient reconfiguration of vertex colouring.- A refinement of Cauchy-Schwarz complexity, with applications (extended abstract).- The Ising antiferromagnet in the replica symmetric phase.- A simple (2+/epsilon)-approximation algorithm for Split Vertex Deletion.- On graphs without an induced path on 5 vertices and without an induced dart or kite.- Constant congestion brambles in directedgraphs.- Component behaviour of random bipartite graphs.- Maximising line subgraphs of diameter at most $t$.- Unavoidable hypergraphs.- $2$-distance $(/Delta+1)$-coloring of sparse graphs using the potential method.- Graphs where Search Methods are Indistinguishable.- Discrete Helly-type theorems for pseudohalfplanes.- Cycles of Many Lengths in Hamiltonian Graphs.- Maximal $k$-wise $/ell$-divisible set families are atomic.- A Trivariate Dichromate Polynomial for Digraphs.- Schur’s Theorem for randomly perturbed sets.- Unit Disk Visibility Graphs.- Waiter-Client Games on Randomly Perturbed Graphs.- Vector Choosability in Bipartite Graphs.- Tight bounds on the expected number of holes in random point sets.- The game of Toucher and Isolator.- Hermitian rank-metric codes.- The Flat Wall Theorem for Bipartite Graphs with Perfect Matchings.- Big Ramsey degrees and forbidden cycles.- The Ramsey number for 4-uniform tight cycles.- Chip-firing on the complete split graph: Motzkin words and tiered parking functions.- Long shortest cycle covers in cubic graphs.- Powers of Hamilton cycles of high discrepancy are unavoidable.- Low Diameter Algebraic Graphs.- The fractional chromatic number of double cones over graphs.- Complexity of $3+1/m$-coloring $P_t$-free graphs.- Shattering Threshold for the Coloring Problem of a Random Hypergraph.- Integer covering problems and max-norm Ramsey theorems.- Unit disks hypergraphs are three-colorable.- Characterization of FS-double Squares Ending with Two Distinct Squares.- On asymmetric hypergraphs.- On Multicolour Ramsey Numbers and Subset-Colouring of Hypergraphs.- Max Cuts in Triangle-free Graphs.- On the cycle rank conjecture about metric dimension and zero forcing number in graphs.- Tight bounds for powers of Hamilton cycles in tournaments.- On sufficient conditions for Hamiltonicity in dense graphs.- On the maximum number of weakly-rainbow-free edge-colorings.- Degree conditions for tight Hamilton cycles.- An Approximate Structure Theorem for Small Sumsets.- Classification of Local Problems on Paths from the Perspective of Descriptive Combinatorics.- On the enumeration of plane bipolar posets and transversal structures.- The characterization of graphs whose sandpile group has fixed number of generators.- Kissing number in non-Euclidean spaces of constant sectional curvature.- Decomposing cubic graphs with cyclic connectivity 5.- Dirac-type conditions for spanning bounded-degree hypertrees.- Outer 1-string graphs of girth at least five are 3-colorable.- The rainbow Turan number of even cycles.- Trees with few leaves in tournaments.- Uncommon systems of equations.- Exchange properties of finite set-systems.- On a question of Vera T. Sós about size forcing of graphons (extended abstract).- On Deeply Critical Oriented Cliques.- Big Ramsey degrees of the generic partial order.- The square of a Hamilton cycle in randomly perturbed graphs.- On extremal problems concerning the traces of sets.- The chromatic number of signedgraphs with bounded maximum average degree.- Maker–Breaker games with constraints.- Parallelisms of PG(3, 5) with an automorphism group of order 25.- On Alternation, VC-dimension and k-fold Union of Sets.- Weak components of the directed conguration model.- Decomposing and Colouring Locally Out-Transitive Oriented Graphs.- Ramsey expansions of 3-hypertournaments.- Path decompositions of random directed graphs.- Large multipartite subgraphs in H-free graphs.- Kempe changes in bounded treewidth graphs.- No Selection Lemma for Empty Triangles.- The mod $k$ chromatic index of random graphs.- Constructions of betweenness-uniform graphs from trees.- On the homomorphism order of oriented paths and trees.- On chromatic number of (n, m)-graphs.- On a problem of Füredi and Griggs.- Gallai’s path decomposition for planar graphs.- Tuza’s Conjecture for threshold graphs.- Covering three-tori with cubes.- New bounds on $k$-geodetic digraphs and mixed graphs.- Counting $C_k$-free orientationsof $G(n, p)$.- Counting Circuit Double Covers.- Oriented graphs with lower orientation Ramsey thresholds.- Random 2-cell embeddings of multistars.- Cycle saturation in random graphs.- On the maximum cut in sparse random hypergraphs.- Asymptotics for connected graphs and irreducible tournament.- Interval representation of balanced separators in graphs avoiding a minor.- Lines in the Manhattan plane.- A rainbow connectivity threshold for random graph families.- Robust Connectivity of Graphs on Surfaces.
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