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Advances and Applications in Discrete Mathematics

Advances and Applications in Discrete Mathematics
Volume 18, Issue 2, Pages 157 - 178 (April 2017)
http://dx.doi.org/10.17654/AADMApr2017_157_178

AXIOMATIC CHARACTERIZATION OF ANTICENTER FUNCTION OF SOME CLASSES OF GRAPHS

Manoj Changat, Shilpa Mohandas and Prasanth G. Narasimha-Shenoi

Abstract:

An anticenter point for a profile is an element xin a metric space for which the eccentricity of xwith respect to denoted as is maximum and the set of all anticenter points of is the anticenter of denoted as In this paper, we give axiomatic characterizations of anticenter function for the classes of stars, wheels, paths and self centered graphs.