Degree Associated Reconstruction Parameters of Total Graphs

Authors

  • P. Anusha Devi Department of Mathematics Manonmaniam Sundaranar University Tirunelveli - 627 012 Tamilnadu INDIA
  • S. Monikandan Department of Mathematics Manonmaniam Sundaranar University Tirunelveli - 627 012 Tamilnadu INDIA

DOI:

https://doi.org/10.11575/cdm.v12i2.62514

Keywords:

reconstruction number, degree associated reconstruction number, degree associated edge reconstruction number

Abstract

A card (ecard) of a graph G is a subgraph formed by deleting a vertex (an edge). A dacard (da-ecard) specifies the degree of the deleted vertex (edge) along with the card (ecard). The degree associated reconstruction number (degree associated edge reconstruction number ) of a graph G, drn(G) (dern(G)), is the minimum number of dacards (da-ecards) that uniquely determines G. In this paper, we investigate these two parameters for the total graph of certain standard graphs.

References

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S. Monikandan and S. Sundar Raj, Degree associated edge reconstruction number, Combinatorial algorithms, Lecture Notes in Computer Science 7643, Springer-Verlag, Berlin (2012) 100-109.

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Published

2017-11-27

Issue

Vol. 12 No. 2 (2017)

Section

Articles

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