Article ID Journal Published Year Pages File Type
4647141 Discrete Mathematics 2015 7 Pages PDF
Abstract

For a graph GG and a set HH of connected graphs, GG is said to be HH-free if GG does not contain any member of HH as an induced subgraph. We let G2(H)G2(H) denote the set of all 2-connected HH-free graphs. Fujisawa et al. (2013) characterized sets HH of connected graphs such that |H|≤3|H|≤3 and G2(H)G2(H) is finite. In this paper, we extend their result and characterize sets HH of connected graphs such that |H|≤4|H|≤4 and G2(H)G2(H) is finite.

Related Topics
Physical Sciences and Engineering Mathematics Discrete Mathematics and Combinatorics
Authors
, ,