The Kakeya Set conjecture over Z/NZ for general N
Advances In Combinatorics
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3M ago
A proof of the Kakeya Set Conjecture for Z/NZ ..read more
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There are only a finite number of excluded minors for the class of bicircular matroids
Advances In Combinatorics
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5M ago
A proof of the finiteness of the set of excluded minors for the class of bicircular matroids, and a potential exhaustive list of such excluded minors ..read more
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Separating the edges of a graph by a linear number of paths
Advances In Combinatorics
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6M ago
Every graph has a collection of linearly many paths separating any pair of edges ..read more
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The sparse parity matrix
Advances In Combinatorics
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8M ago
A detailed analysis of the overlap between random solutions of a random linear equation ..read more
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Ramsey goodness of books revisited
Advances In Combinatorics
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9M ago
A new proof of the Ramsey goodness of book graphs, with an improved dependence between the parameters ..read more
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Towards a hypergraph version of the Pósa-Seymour conjecture
Advances In Combinatorics
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9M ago
A minimum codegree condition for the existence of powers of tight Hamilton cycles in uniform hypergraphs ..read more
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Ramsey multiplicity and the Turán coloring
Advances In Combinatorics
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10M ago
Construction of graphs with Ramsey multiplicity constant that can be determined exactly and is below the random coloring bound ..read more
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Tight Ramsey bounds for multiple copies of a graph
Advances In Combinatorics
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1y ago
An asymptotically tight threshold on n from which the Burr-Erdős-Spencer formula for the Ramsey number of n identical copies of the same graph applies ..read more
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Local girth choosability of planar graphs
Advances In Combinatorics
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1y ago
A unified "local" version of two classical theorems of Thomassen about list coloring in planar graphs is proved ..read more
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Induced subgraphs and tree decompositions III. Three-path-configurations and logarithmic treewidth
Advances In Combinatorics
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1y ago
A logarithmic bound on the tree-width of graphs from a family determined by forbidden induced subgraphs ..read more
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