Abdussakir, Abdussakir, Puspitasari, Lila Aryani, Irawan, Wahyu Henky and Alisah, Evawati
(2019)
*Eccentric connectivity index of identity graph of cyclic group and finite commutative ring with unity.*
Journal of Physics: Conference Series, 1375 (01206).
pp. 1-6.
ISSN 1742-6588

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## Abstract

Research on graph associated with a finite algebraic structure has attracted many attentions. On the other hand, eccentric connectivity index is an interesting topic and many studies have been reported. For simple connected graph G, let e(v) denoted the eccentricity of

vertex v and deg(v) denoted the degree of vertex v in G. Eccentric connectivity index of G is defined as the sum of all e(v)deg(v), for any v in G. We focus the study on determining eccentricity connectivity index of identity graph of cyclic group and finite commutative ring with

unity. We present the exact formula for eccentricity connectivity index of identity graph of these two algebraic structures.

Item Type: | Journal Article |
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Keywords: | eccentric connectivity index; identity graph; cyclic group; commutative ring |

Subjects: | 01 MATHEMATICAL SCIENCES > 0101 Pure Mathematics > 010101 Algebra and Number Theory 01 MATHEMATICAL SCIENCES > 0101 Pure Mathematics > 010104 Combinatorics and Discrete Mathematics (excl. Physical Combinatorics) 01 MATHEMATICAL SCIENCES > 0101 Pure Mathematics > 010105 Group Theory and Generalisations |

Divisions: | Faculty of Mathematics and Sciences > Department of Mathematics |

Depositing User: | Abdussakir Abdussakir |

Date Deposited: | 17 Dec 2019 10:31 |

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