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STET Journals.,   Volume(11) - Issue(3), 2018
pp 161-164,   DOI:123.10.10.20894/STET.116.011.003.009

A unique fixation of the locus of basis elements in graphs

R. Manjusha;A. Sunny Kuriaksoe

Abstract

  The resolving set consisting basis elements is not unique for any graph. This paper examines how the basis elements can be uniquely placed on a graph so as to solve the network flow problems. A relation between connectivity and metric dimension of graph has been verified. Also discussed the parameter changes occurred in molecular graphs due to catenation. The resolving set consisting basis elements is not unique for any graph. This paper examines how the basis elements can be uniquely placed on a graph so as to solve the network flow problems. A relation between connectivity and metric dimension of graph has been verified. Also discussed the parameter changes occurred in molecular graphs due to catenation.

Keywords

Metric dimension, cut vertex, connectivity, molecular graph, hydrocarbons

Received
30/08/2018
, Accepted
30/08/2018
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