On degree sets in k-partite graphs

Author:

Naikoo T. A.1,Samee U.2,Pirzada S.3,Rather Bilal A.4

Affiliation:

1. Islamia College of Science and Commerce , Srinagar , India

2. Institute of Technology , University of Kashmir , Srinagar , India

3. University of Kashmir , Srinagar , India

4. Department of Mathematics , University of Kashmir , India

Abstract

Abstract The degree set of a k-partite graph is the set of distinct degrees of its vertices. We prove that every set of non-negative integers is a degree set of some k-partite graph.

Publisher

Walter de Gruyter GmbH

Reference31 articles.

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3. [3] A. A. Chernyak, Minimal graphs with a given degree set and girth (Russian), Vestsi Akad. Navuk BSSR Ser. Fiz.-Mat. Navuk,1988, 2 21–25, 123. ⇒252

4. [4] F. Harary, E. Harzheim, The degree sets of connected infinite graphs. Fund. Math., 118, 3 (1983) 233–236. ⇒25210.4064/fm-118-3-233-236

5. [5] A. Iványi, J. Elek, Degree sets of tournaments, Studia Univ. Babe¸s-Bolyai, Informatica, 59 (2014) 150–164. ⇒252

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