The resolving number of a graph DeliaReport as inadecuate




The resolving number of a graph Delia - Download this document for free, or read online. Document in PDF available to download.

1 Department of Applied Mathematics I Sevilla

Abstract : We study a graph parameter related to resolving sets and metric dimension, namely the resolving number, introduced by Chartrand, Poisson and Zhang. First, we establish an important difference between the two parameters: while computing the metric dimension of an arbitrary graph is known to be NP-hard, we show that the resolving number can be computed in polynomial time. We then relate the resolving number to classical graph parameters: diameter, girth, clique number, order and maximum degree. With these relations in hand, we characterize the graphs with resolving number 3 extending other studies that provide characterizations for smaller resolving number.





Author: Delia Garijo - Antonio González - Alberto Márquez -

Source: https://hal.archives-ouvertes.fr/



DOWNLOAD PDF




Related documents