Note on \((i,j)\)-Distance Graph of a Graph

Authors

  • P. S. Hemavathi Department of Mathematics, Siddaganga Institute of Technology, B.H. Road, Tumkur 572103, India; Department of Studies in Mathematics, Vijayanagara Sri Krishnadevaraya University, Ballari 583105, India
  • V. Lokesha Department of studies in Mathematics, V. S. K. University, Jnana Sagara Campus, Vinayaka Nagara, Ballari 583105, Karnataka

DOI:

https://doi.org/10.26713/cma.v9i2.633

Keywords:

\((i, j)\)-Distance graph, Distance \((i, j)\)-bipartite graphs, Strongly \((i

Abstract

In this note, we dene the \((i,j)\)-distance graph of a graph and presented several characterizations based on this notion.

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References

G.T. Chartrand and P. Zhang, An Introduction to Graph Theory, Walter Rudin Series in Advanced Mathematics, McGraw Hill Companies Inc., New York (2005).

E.W. Dijkstra, A note on two problems in connection with graphs, Numer. Math. 1(1) (1959), 269 – 271.

F. Harary, Graph Theory, Addison-Wesley Publ. Comp., Massachusetts, Reading (1969).

P. Siva Kota Reddy, P.S. Hemavathi and V. Lokesha, Generalization of bipartite graphs, (communicated for publication).

D.B. West, Introduction to Graph Theory, Prentice-Hall of India Pvt. Ltd. (1999).

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Published

30-06-2018
CITATION

How to Cite

Hemavathi, P. S., & Lokesha, V. (2018). Note on \((i,j)\)-Distance Graph of a Graph. Communications in Mathematics and Applications, 9(2), 103–108. https://doi.org/10.26713/cma.v9i2.633

Issue

Vol. 9 No. 2 (2018)

Section

Research Article

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