TY - JOUR

T1 - Forbidden induced subgraphs for near perfect matchings

AU - Ota, Katsuhiro

AU - Ozeki, Kenta

AU - Sueiro, Gabriel

PY - 2013

Y1 - 2013

N2 - Let F be a family of connected graphs. A graph G is said to be F-free if G is H-free for every graph H in F. Fujita et al. (2006) [2] studied the problem of characterizing the families of graphs F such that every large enough connected F-free graph of odd order has a near perfect matching. In the same work, the authors characterized such families F, but in the case where every graph in F is triangle-free. In this paper, we complete the characterization of all such families, removing the triangle-free condition.

AB - Let F be a family of connected graphs. A graph G is said to be F-free if G is H-free for every graph H in F. Fujita et al. (2006) [2] studied the problem of characterizing the families of graphs F such that every large enough connected F-free graph of odd order has a near perfect matching. In the same work, the authors characterized such families F, but in the case where every graph in F is triangle-free. In this paper, we complete the characterization of all such families, removing the triangle-free condition.

KW - Forbidden subgraph

KW - Near perfect matching

KW - Perfect matching

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U2 - 10.1016/j.disc.2013.01.020

DO - 10.1016/j.disc.2013.01.020

M3 - Article

AN - SCOPUS:84887125269

VL - 313

SP - 1267

EP - 1280

JO - Discrete Mathematics

JF - Discrete Mathematics

SN - 0012-365X

IS - 11

ER -