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math.CO2021
Vertebrate interval graphs
Rain Jiang, Kai Jiang, Minghui Jiang
A vertebrate interval graph is an interval graph in which the maximum size of a set of independent vertices equals the number of maximal cliques. For any fixed , there is…
math.CO2021★ 1 cited
Partitioning an interval graph into subgraphs with small claws
Rain Jiang, Kai Jiang, Minghui Jiang
The claw number of a graph is the largest number such that is an induced subgraph of . Interval graphs with claw number at most are cluster graphs when $v…
math.CO2021
Caterpillars and alternating paths
Rain Jiang, Kai Jiang, Minghui Jiang
Let (respectively, ) be the maximum number such that any tree with edges can be transformed by contracting edges (respectively, by removing vertices) into a ca…