Detour self-decomposition of corona product of graphs

Authors

  • E Ebin Raja Merly Affiliated to Manonmanium Sundaranar University, Abishekapatti, Tirunelveli, Tamilnadu- 627012, India (Associate Professor and Head, Department of Mathematics, Nesamony Memorial Christian College, Marthandam, Tamilnadu-629165, India);
  • E Anlin Bena Affiliated to Manonmanium Sundaranar University, Abishekapatti, Tirunelveli, Tamilnadu- 627012, India.(Research Scholar (Reg.No:20213112092038), Department of Mathematics, Nesamony Memorial Christian College, Marthandam, Tamilnadu-629165, India.)

DOI:

https://doi.org/10.23755/rm.v50i0.1545

Keywords:

Detour number, Detour self-decomposition, Detour selfdecomposition number, Corona product

Abstract

Decomposition of a graph G is the collection of edge-disjoint subgraphs of G. The longest distance between any two vertices of G is its detour distance. A subset S of V (G) is a detour set if every vertex of G lie on some u − v detour path, where u, v ∈ S. If a graph G can be decomposed into subgraphs G1,G2, ...,Gn with same detour number
as G then the decomposition Π = (G1,G2, ...,Gn) is called detour self-decomposition. The cardinality of maximum such possibility of detour self-decomposition in G is the detour self-decomposition number of G and is denoted by πsdn(G). The bounds of detour selfdecomposition number of corona product of graphs based on few properties have been discussed here.

Author Biographies

  • E Ebin Raja Merly, Affiliated to Manonmanium Sundaranar University, Abishekapatti, Tirunelveli, Tamilnadu- 627012, India (Associate Professor and Head, Department of Mathematics, Nesamony Memorial Christian College, Marthandam, Tamilnadu-629165, India);

    Affiliated to Manonmanium Sundaranar University, Abishekapatti, Tirunelveli, Tamilnadu- 627012, India (Associate Professor and Head, Department of Mathematics, Nesamony Memorial Christian College, Marthandam, Tamilnadu-629165, India)

  • E Anlin Bena, Affiliated to Manonmanium Sundaranar University, Abishekapatti, Tirunelveli, Tamilnadu- 627012, India.(Research Scholar (Reg.No:20213112092038), Department of Mathematics, Nesamony Memorial Christian College, Marthandam, Tamilnadu-629165, India.)

    Affiliated to Manonmanium Sundaranar University, Abishekapatti, Tirunelveli, Tamilnadu- 627012, India.(Research Scholar (Reg.No:20213112092038), Department of Mathematics, Nesamony Memorial Christian College, Marthandam, Tamilnadu-629165, India.)

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Published

2023-12-29

Issue

Vol. 50 (2023): SPECIAL ISSUE: RECENT INNOVATIONS IN APPLICATIONS OF MATHEMATICS

Section

Volume 50-2023

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