On connected m multiply 2 dimensions hyperplane complete residual graph. Issue 4 (3rd July 2016)

• Record Type: Journal Article
• Authors: Duan, Huiming; Liu, Yixin; Wang, Kun; You, Meilin
• Is Part Of: Journal of interdisciplinary mathematics. Volume 19:Issue 4(2016)
• Page Start: 811
• Page End: 821
• Publication Date: 2016-07-03
• Subjects: Residual graph -- Close neighborhood -- Isomorphic -- Independent set; 05C35 -- 05C75 -- 05C60; O157.5; A; Mathematics -- Periodicals; Mathematics; Periodicals; 510.5
• DOI: 10.1080/09720502.2016.1191177
• Languages: English
• ISSNs: 0972-0502

Abstract

Abstract: In this paper, we extend P.Erdös, F.Harary and M.Klawe's definition of plane complete residual graph to hyperplane and define 2 dimensions hyperplane complete graph. We obtain the minimum order of 2 dimensions hyperplane complete-residual graphs and the minimum order of m multiply 2 dimensions hyperplane complete-residual graphs. In addition, we obtain a unique 2 dimensions hyperplane complete-residual extremal graph and a unique m multiply 2 dimensions hyperplane complete-residual extremal graph.