We investigate the connections between families of graphs closed under (induced) subgraphs and their forbidden (induced) subgraph characterizations. In particular, we discuss going from a forbidden subgraph characterization of a family P to a forbidden induced subgraph characterization of the family of line graphs of members of P in the most general case. The inverse problem is considered too.
机构:
Incheon Natl Univ, Dept Math, Incheon, South Korea
Inst Basic Sci IBS, Discrete Math Grp, Daejeon, South KoreaIncheon Natl Univ, Dept Math, Incheon, South Korea
Kwon, O-Joung
Oum, Sang-Il
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机构:
Inst Basic Sci IBS, Discrete Math Grp, Daejeon, South Korea
Korea Adv Inst Sci & Technol, Dept Math Sci, Daejeon, South KoreaIncheon Natl Univ, Dept Math, Incheon, South Korea