most citedBurling graphs in graphs with large chromatic number

1 citations · 1 across the 6 of their papers we have counts for

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6 papers

math.CO20251 cited

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…

math.CO2025

Hitting all longest paths in -free graphs and -graphs

Paloma T. de Lima, Amir Nikabadi, Paweł Rzążewski

The \textit{longest path transversal number} of a connected graph , denoted by , is the minimum size of a set of vertices of that intersects all longest paths in

cs.LO2025

Tabular intermediate logics comparison

Paweł Rzążewski, Michał Stronkowski

Tabular intermediate logics are intermediate logics characterized by finite posets treated as Kripke frames. For a poset , let denote the corresponding…

cs.CC2025

Finding large -colorable induced subgraphs in (bull, chair)-free and (bull,E)-free graphs

Nadzieja Hodur, Monika Pilśniak, Magdalena Prorok +1

We study the Max Partial -Coloring problem, where we are given a vertex-weighted graph, and we ask for a maximum-weight induced subgraph that admits a proper -coloring. For $…

cs.CC2024

Fundamental Problems on Bounded-Treewidth Graphs: The Real Source of Hardness

Barış Can Esmer, Jacob Focke, Dániel Marx +1

It is known for many algorithmic problems that if a tree decomposition of width is given in the input, then the problem can be solved with exponential dependence on . A line…

cs.DS2024

Odd Cycle Transversal on -free Graphs in Polynomial Time

Akanksha Agrawal, Paloma T. Lima, Daniel Lokshtanov +3

An independent set in a graph G is a set of pairwise non-adjacent vertices. A graph is bipartite if its vertex set can be partitioned into two independent sets. In the Odd Cycl…