Eccentric connectivity index of identity graph of cyclic group and finite commutative ring with unity

Autor:	Evawati Alisah, Wahyu Henky Irawan, Abdussakir Abdussakir, Lila Aryani Puspitasari
Rok vydání:	2019
Předmět:	Combinatorics Vertex (graph theory) History Algebraic structure Topological index Eccentric Cyclic group Commutative ring Connectivity Graph Computer Science Applications Education Mathematics
Zdroj:	Journal of Physics: Conference Series. 1375:012067
ISSN:	1742-6596 1742-6588
Popis:	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 graphG, lete(v) denoted the eccentricity of vertexvanddeg(v) denoted the degree of vertexvinG. Eccentric connectivity index ofGis defined as the sum of alle(v)deg(v), for anyvinG. 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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::ed1bc42fa508a1c748605934dd88a9b4 https://doi.org/10.1088/1742-6596/1375/1/012067 Zobrazit plný text záznamu