TY - JOUR
T1 - Degree sum conditions for path-factors with specified end vertices in bipartite graphs
AU - Matsubara, Ryota
AU - Matsumura, Hajime
AU - Tsugaki, Masao
AU - Yamashita, Tomoki
N1 - Funding Information:
The lastauthor was supported by JSPS KAKENHI Grant Number 24740074 .
Publisher Copyright:
© 2016 Elsevier B.V.
PY - 2017/2/6
Y1 - 2017/2/6
N2 - Let G be a graph, and let S be a subset of the vertex set of G. We denote the set of the end vertices of a path P by end(P). A path P is an S-path if |V(P)|≥2 and V(P)∩S=end(P). An S-path-system is a graph H such that H contains all vertices of S and every component of H is an S-path. In this paper, we give a sharp degree sum condition for a bipartite graph to have a spanning S-path-system.
AB - Let G be a graph, and let S be a subset of the vertex set of G. We denote the set of the end vertices of a path P by end(P). A path P is an S-path if |V(P)|≥2 and V(P)∩S=end(P). An S-path-system is a graph H such that H contains all vertices of S and every component of H is an S-path. In this paper, we give a sharp degree sum condition for a bipartite graph to have a spanning S-path-system.
KW - Bipartite graph
KW - Degree sum condition
KW - Path-factor
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U2 - 10.1016/j.disc.2016.07.015
DO - 10.1016/j.disc.2016.07.015
M3 - Article
AN - SCOPUS:84984832848
VL - 340
SP - 87
EP - 95
JO - Discrete Mathematics
JF - Discrete Mathematics
SN - 0012-365X
IS - 2
ER -