Detour Distant Divisor Graphs

S. SARAVANAKUMAR; K. NAGARAJAN

doi:https://doi.org/10.14445/22315373/IJMTT-V9P501

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 9 | Number 1 | Year 2014 | Article Id. IJMTT-V9P501 | DOI : https://doi.org/10.14445/22315373/IJMTT-V9P501

Detour Distant Divisor Graphs

S. SARAVANAKUMAR , K. NAGARAJAN

Citation :

S. SARAVANAKUMAR , K. NAGARAJAN, "Detour Distant Divisor Graphs," International Journal of Mathematics Trends and Technology (IJMTT), vol. 9, no. 1, pp. 1-15, 2014. Crossref, https://doi.org/10.14445/22315373/IJMTT-V9P501

Abstract

Let G = (V,E) be a (p, q) - graph. The longest path P is called a detour distant divisor path if l(P) is a divisor of q . A detour distant divisor graph DD(G) of graph G = (V,E) has the vertex set V = V (G) and two vertices in DD(G) are adjacent if they have the detour distant divisor path in G. In this paper, we deal with the detour distant divisor graph of standard graphs such as path, cycle, star, wheel, complete graph, complete bipartite graph and corona of a complete graph etc.

Keywords

Distance, Detour distance, Detour distant divisor path, Detour distant divisor graph, Antipodal graph.

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