On Study of Vertex Labeling of Graph Operations

Authors

  • M. A. Rajan Innovation Labs, Tata consultancy Services Limited, Bangalore, India
  • N. M. Kembhavimath Gulbarga University, Gulbarga
  • V. Lokesha Department of Mathematics, Acharya Institute of Technology, Bangalore -560090, India

DOI:

https://doi.org/10.3329/jsr.v3i2.6222

Keywords:

Subdivision, Graph labeling, Direct sum, Direct product.

Abstract

Vertices of the graphs are labeled from the set of natural numbers from 1 to the order of the given graph. Vertex adjacency label set (AVLS) is the set of ordered pair of vertices and its corresponding label of the graph. A notion of vertex adjacency label number (VALN) is introduced in this paper. For each VLS, VLN of graph is the sum of labels of all the adjacent pairs of the vertices of the graph. is the maximum number among all the VALNs of the  different labeling of the graph and the corresponding VALS is defined as maximal vertex  adjacency label set . In this paper  for different graph operations are discussed. 

Keywords: Subdivision; Graph labeling; Direct sum; Direct product.

© 2011 JSR Publications. ISSN: 2070-0237 (Print); 2070-0245 (Online). All rights reserved.

doi:10.3329/jsr.v3i26222                  J. Sci. Res. 3 (2), 291-301 (2011)

 

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Author Biographies

M. A. Rajan, Innovation Labs, Tata consultancy Services Limited, Bangalore, India

 

 

M. A. Rajan

 

Innovation Labs, Tata consultancy Services Limited, Bangalore, India

 

N. M. Kembhavimath, Gulbarga University, Gulbarga

Deaprtment of Mathematics

Assistant Professor

SJMIT, CHitradurga, India

V. Lokesha, Department of Mathematics, Acharya Institute of Technology, Bangalore -560090, India

 V. Lokesha

Department of Mathematics, Acharya Institute of Technology, Bangalore -560090, India

 

 

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Published

2011-04-28

How to Cite

Rajan, M. A., Kembhavimath, N. M., & Lokesha, V. (2011). On Study of Vertex Labeling of Graph Operations. Journal of Scientific Research, 3(2), 291–301. https://doi.org/10.3329/jsr.v3i2.6222

Issue

Section

Section A: Physical and Mathematical Sciences