Iqbalunnisa; Janakiraman, T. N.; Srinivasan, N. On antipodal, eccentric and super-eccentric graph of a graph. (English) Zbl 0688.05041 J. Ramanujan Math. Soc. 4, No. 2, 145-161 (1989). Summary: A graph J(G) is said to be super-eccentric graph of a graph G if \(V(G)=V(J(G))\) and uv\(\in E(J(G))\) whenever d(u,v)\(\geq r\), where r is the radius of the graph G. In this paper the concept of super-eccentric graphs of a graph is introduced and also the results relating to antipodal, eccentric and super-eccentric graphs of a graph are presented with the characterizations of antipodal, eccentric and super-eccentric geodetic graphs. Also some graph equations connecting antipodal, eccentric and super-eccentric graphs are discussed. Cited in 2 Documents MSC: 05C35 Extremal problems in graph theory Keywords:antipodal graphs; super-eccentric graph; eccentric graphs PDFBibTeX XMLCite \textit{Iqbalunnisa} et al., J. Ramanujan Math. Soc. 4, No. 2, 145--161 (1989; Zbl 0688.05041)