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ISSN 2063-5346
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ON THE CONNECTED HUB POLYNOMIAL OF GRAPHS

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T. ANITHA BABY 1 AND 2 T. ANGELINSHINY
» doi: 10.48047/ecb/2023.12.si8.066

Abstract

The connected hub polynomial of a graph ???? of order ???? is the polynomial, ???????? (????, ????) = ∑ ℎ???? (????, ????)???? ???? ???? ????=???????? (????) , where ℎ???? (????, ????) is the number of connected hub sets with cardinality ???? and ???????? (????) is the connected hub number of ????. In this paper, we obtain the connected hub polynomials of path graph, cycle graph, complete graph, bi-star graph, barbell graph, triangular cactus graph, helm graph, tadpole graph and star graph.

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