Order Sum Graph of a Group
Keywords:Algebraic graphs, Center, Domination, Graph spectra, Order sum graphs. MSC2010: CXCL10, CXCL16, Date
The concept of the order sum graph associated with a finite group based on the order of the group and order of group elements is introduced. Some of the properties and characteristics such as size, chromatic number, domination number, diameter, circumference, independence number, clique number, vertex connectivity, spectra, and Laplacian spectra of the order sum graph are determined. Characterizations of the order sum graph to be complete, perfect, etc. are also obtained.
Published Online First 20/7/2022
Ma XL, Wei HQ, Yang LY. The coprime graph of a group. Int J Group Theory. 2014; 3(3): 13-23.
Suganya R, Nagarajan K. Distance coprmei graphs . Int J Pure Eng Math. 2016; 4(1): 19-30.
Al-Harere MN, Bakhash PK. Tadpole domination in graphs. Baghdad Sci. J. 2018; 15(4): 0466.
Mitlif RJ, Al-Harere MN, Sadiq FA. Variant Domination Types for a Complete h-ary Tree. Baghdad Sci. J. 2021; 18(1(Suppl.): 0797. Available from: https://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/3481
Omran AA, Oda, HH. H_n-domination in graphs. Baghdad Sci. J. 2019; 16(1(Suppl.)): 0242.
Pundir SK. A competitive approach to modern algebra. New Delhi: CBS Publication Pvt Ltd. 2020: Pp. 710.
Fraleigh JB. A first course in abstract algebra. 7th ed., Delhi:Pearson Education India; 2017; (1): 25-88.
Vinberg ĖB. A Course in Algebra. Graduate Studies in Mathematics. Am Math Soc. Providence. USA. 2003; 56: Pp. 512.
Bonomo F, Durán G, Groshaus M, Szwarcfiter JL. On clique-perfect and k-perfect graphs. Ars Comb. 2006; 80:97-112.
Copyright (c) 2022 Baghdad Science Journal
This work is licensed under a Creative Commons Attribution 4.0 International License.