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Sufficient Ore type condition for a digraph to be supereulerian

Changchang Dong, Jixiang Meng and Juan Liu

Applied Mathematics and Computation, 2021, vol. 410, issue C

Abstract: A digraph D is called supereulerian if D has a spanning eulerian subdigraph. In this article, we show that a strong digraph D with n vertices is supereulerian if for every three different vertices z,w and v such that z and w are nonadjacent, d(z)+d(w)+d+(z)+d−(v)≥3n−5 (if (z,v)∉A(D)) and d(z)+d(w)+d−(z)+d+(v)≥3n−5 (if (v,z)∉A(D)). And this bound is sharp.

Keywords: Supereulerian digraph; Spanning eulerian subdigraph; Degree condition (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:410:y:2021:i:c:s0096300321005592

DOI: 10.1016/j.amc.2021.126470

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