Degree sequence and supereulerian graphs
نویسندگان
چکیده
منابع مشابه
Degree sequence and supereulerian graphs
A sequence d = (d1, d2, · · · , dn) is graphic if there is a simple graph G with degree sequence d, and such a graph G is called a realization of d. A graphic sequence d is linehamiltonian if d has a realizationG such that L(G) is hamiltonian, and is supereulerian if d has a realization G with a spanning eulerian subgraph. In this paper, it is proved that a nonincreasing graphic sequence d = (d...
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A sequence d = (d1, d2, . . . , dn) is multigraphic if there is a multigraph G with degree sequence d, and such a graph G is called a realization of d. In this paper, we prove that a nonincreasing multigraphic sequence d = (d1, d2, . . . , dn) has a realization with a spanning eulerian subgraph if and only if either n = 1 and d1 = 0, or n ≥ 2 and dn ≥ 2, and that d has a realization G such that...
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ژورنال
عنوان ژورنال: Discrete Mathematics
سال: 2008
ISSN: 0012-365X
DOI: 10.1016/j.disc.2007.11.008