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The Connected Detour Numbers of Special Classes of Connected Graphs
Joint Authors
Ali, Ahmed Mohammed
Ali, Ali A.
Source
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-11-03
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
Simple finite connected graphs G=V,E of p≥2 vertices are considered in this paper.
A connected detour set of G is defined as a subset S⊆V such that the induced subgraph GS is connected and every vertex of G lies on a u−v detour for some u,v∈S.
The connected detour number cdnG of a graph G is the minimum order of the connected detour sets of G.
In this paper, we determined cdnG for three special classes of graphs G, namely, unicyclic graphs, bicyclic graphs, and cog-graphs for Cp, Kp, and Km,n.
American Psychological Association (APA)
Ali, Ahmed Mohammed& Ali, Ali A.. 2019. The Connected Detour Numbers of Special Classes of Connected Graphs. Journal of Mathematics،Vol. 2019, no. 2019, pp.1-9.
https://search.emarefa.net/detail/BIM-1181414
Modern Language Association (MLA)
Ali, Ahmed Mohammed& Ali, Ali A.. The Connected Detour Numbers of Special Classes of Connected Graphs. Journal of Mathematics No. 2019 (2019), pp.1-9.
https://search.emarefa.net/detail/BIM-1181414
American Medical Association (AMA)
Ali, Ahmed Mohammed& Ali, Ali A.. The Connected Detour Numbers of Special Classes of Connected Graphs. Journal of Mathematics. 2019. Vol. 2019, no. 2019, pp.1-9.
https://search.emarefa.net/detail/BIM-1181414
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1181414