29 citations · 334 across the 88 of their papers we have counts for
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Excluding the fork and antifork
Maria Chudnovsky, Linda Cook, Paul Seymour
The fork is the tree obtained from the claw by subdividing one of its edges once, and the antifork is its complement graph. We give a complete description of all graphs t…
Induced subgraphs and tree decompositions XII. Grid theorem for pinched graphs
Bogdan Alecu, Maria Chudnovsky, Sepehr Hajebi +1
Given an integer , we say a graph is -pinched if does not contain an induced subgraph consisting of cycles, all going through a single common vertex…
Induced subgraphs and tree decompositions X. Towards logarithmic treewidth for even-hole-free graphs
Tara Abrishami, Bogdan Alecu, Maria Chudnovsky +2
A generalized -pyramid is a graph obtained from a certain kind of tree (a subdivided star or a subdivided cubic caterpillar) and the line graph of a subdivided cubic caterpillar…
Tree independence number I. (Even hole, diamond, pyramid)-free graphs
Tara Abrishami, Bogdan Alecu, Maria Chudnovsky +3
The tree-independence number tree-, first defined and studied by Dallard, Milanič and Štorgel, is a variant of treewidth tailored to solving the maximum independent set problem.…
Induced subgraphs and tree decompositions IX. Grid theorem for perforated graphs
Bogdan Alecu, Maria Chudnovsky, Sepehr Hajebi +1
The celebrated Erdős-Pósa Theorem, in one formulation, asserts that for every , graphs with no subgraph (or equivalently, minor) isomorphic to the disjoint union of cy…
Even pairs in Berge graphs with no balanced skew-partitions
Tara Abrishami, Maria Chudnovsky, Yaqian Tang
Let be a Berge graph that has no odd prism and no antihole of length at least six as an induced subgraph. We show that every such graph with no balanced skew-partition is e…