A unique fixation of the locus of basis elements in graphs
R. Manjusha1
*,
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
Citation: *, ( 2018), A unique fixation of the locus of basis elements in graphs. Scientific Transactions in Environment and Technovation Journal(STET), 11(3): 161-164
Received: 2018-08-30 15:18:47; Accepted: 2018-08-30 15:19:12;
Published: 11/09/2022