ON CONNECTIVE ECCENTRIC MATRIX OF A GRAPH

ON CONNECTIVE ECCENTRIC MATRIX OF A GRAPH

M. A. SAHIR, S. M. ABU NAYEEM

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Abstract. In the present paper, the connective eccentric matrix CE(????) for a simple connected graph ???? is introduced and bounds of spectral radius of CE(????) are obtained. The notion of connective eccentric energy ϑ(????) is also introduced and some upper and lower bounds of ϑ(????) are obtained here.

Keywords:Topological index, graph eigenvalues, connective eccentric index, connective eccentric matrix, connective eccentric energy.

AMS Subject Classification:05C50, 05C35.