منابع مشابه
Erratum: Mean distance and minimum degree
The paper ‘‘Mean Distance and Minimum Degree,’’ by Mekkia Kouider and Peter Winkler, JGT 25#1 (1997), 95–99 mistakenly attributes the computer program GRAFFITI to Fajtlowitz and Waller, instead of just Fajtlowitz. (Our apologies to Siemion Fajtlowitz.) Note also that one of the ‘‘flaws’’ we note for Conjecture 62 (that it was made for graphs regular of degree d, vice graphs of minimum degree d)...
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Total and average distance are not only interesting invariants of graphs in their own right but are also used for studying properties or classifying graphical systems that depend on the number of edges traversed. Recent examples include studies of computer networks [3] and the use of graphical invariants to partially classify the structure of molecules [1]. There have been a number of conjectur...
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In this paper characterizations of connected unicyclic and bicyclic graphs in terms of the degree sequence, as well as the graphs in these classes minimal with respect to the degree distance are given. © 2007 Elsevier B.V. All rights reserved.
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*Correspondence: [email protected] Department of Mathematics, Faculty of Mathematical Sciences, Tarbiat Modares University, P.O. Box 14115-137, Tehran, Iran Abstract In (Hamzeh et al. in Stud. Univ. Babeş-Bolyai, Chem., 4:73-85, 2012), we introduced a generalization of a degree distance of graphs as a new topological index. In this paper, we characterize the n-vertex tricyclic graphs whi...
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ژورنال
عنوان ژورنال: Journal of Graph Theory
سال: 1999
ISSN: 0364-9024,1097-0118
DOI: 10.1002/(sici)1097-0118(199903)30:3<243::aid-jgt9>3.0.co;2-e