NDLI: Supereulerian graphs and the Petersen graph

Content Provider	Springer Nature Link
Author	Lei, Lan Lai, Hong Jian Zhang, Meng Li, Xiao Min
Copyright Year	2014
Abstract	A graph G is supereulerian if G has a spanning eulerian subgraph. Boesch et al. [J. Graph Theory, 1, 79–84 (1977)] proposed the problem of characterizing supereulerian graphs. In this paper, we prove that any 3-edge-connected graph with at most 11 edge-cuts of size 3 is supereulerian if and only if it cannot be contractible to the Petersen graph. This extends a former result of Catlin and Lai [J. Combin. Theory, Ser. B, 66, 123–139 (1996)].
Ending Page	304
Page Count	14
Starting Page	291
File Format	PDF
ISSN	14398516
e-ISSN	14397617
Journal	Acta Mathematica Sinica, English Series
Issue Number	2
Volume Number	30
Language	English
Publisher	Springer Berlin Heidelberg
Publisher Date	2014-01-15
Publisher Place	Berlin/Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	contraction Mathematics petersen graph edge-cut reduction Supereulerian graphs
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics

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Supereulerian graphs and the Petersen graph