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math.CO2022★ 1 cited
A dichotomy for graphs of bounded degeneracy
A. Atminas, V. Lozin
We prove that the degeneracy of graphs in a hereditary class defined by a finite set S of forbidden induced subgraphs is bounded if and only if S includes a complete graph, a compl…
math.CO2022★ 2 cited
The treewidth and pathwidth of graph unions
Bogdan Alecu, Vadim Lozin, Daniel A. Quiroz +3
Given two -vertex graphs and of bounded treewidth, is there an -vertex graph of bounded treewidth having subgraphs isomorphic to and ? Our main res…