Abstract

Star Resolving Number of Honeycomb Related Architectures

Chris Monica M. and D. Little Femilin Jana

Department of Mathematics, Loyola College, Chennai 600 034, INDIA. Department of Mathematics, Prince Shri Venkateshwara Padmavathy Engineering College, Chennai 600 127, INDIA.

ABSTRACT

A set W  V is said to be a resolving set of G, if the vertices in G have distinct representation with respect to W. A set W  V is said to be a star resolving set (denoted by sr-set) if W resolves G and it induces a star. The minimum cardinality of W is called the star resolving number and is denoted by sr(G). In this paper, we determine the star resolving number of honeycomb related architectures.

Keywords :resolving set, connected resolving set, star, star resolving number, honeycomb network, honeycomb rectangular mesh.

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