12 citations · 76 across the 20 of their papers we have counts for
21 papers
Burling graphs in graphs with large chromatic number
Tara Abrishami, Marcin Briański, James Davies +4
A graph class is -bounded if the only way to force large chromatic number in graphs from the class is by forming a large clique. In the 1970s, Erdős conjectured that intersectio…
On coarse tree decompositions and coarse balanced separators
Tara Abrishami, Jadwiga Czyżewska, Kacper Kluk +3
It is known that there is a linear dependence between the treewidth of a graph and its balanced separator number: the smallest integer such that for every weighing of the verti…
Excluding a clique or a biclique in graphs of bounded induced matching treewidth
Tara Abrishami, Marcin Briański, Jadwiga Czyżewska +4
For a tree decomposition of a graph , let denote the maximum size of an induced matching in with the property that some bag of c…
Graphs with no even holes and no sector wheels are the union of two chordal graphs
Tara Abrishami, Eli Berger, Maria Chudnovsky +1
Sivaraman conjectured that if is a graph with no induced even cycle then there exist sets satisfying such that the induced graph…
Max Weight Independent Set in sparse graphs with no long claws
Tara Abrishami, Maria Chudnovsky, Cemil Dibek +2
We revisit the recent polynomial-time algorithm for the MAX WEIGHT INDEPENDENT SET (MWIS) problem in bounded-degree graphs that do not contain a fixed graph whose every component i…
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…