A Vertex Code of Designed Distance dH and its Graph G

  IJMTT-book-cover
 
International Journal of Mathematics Trends and Technology (IJMTT)
 
© 2022 by IJMTT Journal
Volume-68 Issue-6
Year of Publication : 2022
Authors : Sreedevi S. L, N. Suresh Babu
 10.14445/22315373/IJMTT-V68I6P518

How to Cite?

Sreedevi S. L, N. Suresh Babu, " A Vertex Code of Designed Distance dH and its Graph G ," International Journal of Mathematics Trends and Technology, vol. 68, no. 6, pp. 149-155, 2022. Crossref, https://doi.org/10.14445/22315373/IJMTT-V68I6P518

Abstract
Matrices associated with the graphs were considered as a good tool to construct codes from graphs with desirable properties. We introduced a new binary code - the vertex code C from a given graph G, depending on the degree of the vertices of G, in such a way that the vertex polynomial of G is same as the weight enumerator of C in [3]. A detailed study on the properties of the vertex code was carried out in [4]. In this paper we revise the vertex code given there in with the purpose of enhancing the error correcting capability of the code and try to generalize the nature of the graph for a given code of specified size and distance.

Keywords : Graph, Vertex degree, Degree sequence, Arithmetic sequence, Error correcting codes, Vertex code.

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