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Journal of Qassim University for Science
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  • Vol. 12 No. 1 (2019)

Published: 2022-04-14


Some Degree Conditions on triple vertices for Digraph to be Supereulerian

Abstract

A digraph D is supereulerian if D has a spanning eulerian subdigraph. We prove that a strong digraph D of order n ≥ 4 satisfies the following conditions: for every triple x, y, z ∊ V(D) such that x and y are non-adjacent, if there is no arc from x to z, then d(x) + d(y) + d + (x) + d‾(z) ≥ 3n - 5. Then D is supereulerian.

Mansour J. Algefari
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01-08

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Department of Chemistry, College of Science, Qassim University, Saudi Arabia


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Department of Mathematics, College of Sciences, Qassim University, KSA


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Department of Biology, College of Science, Qassim university, KSA

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