FIRST ECCENTRIC-DEGREE INDEX AND IT’S ENERGY FOR SOME CLASSES OF GRAPHS

Ashwini Yalnaik; M. S. Ranganath; Balachandra Hadimani; B. G. Sandhya; Venkatesh Bhandage

FIRST ECCENTRIC-DEGREE INDEX AND IT’S ENERGY FOR SOME CLASSES OF GRAPHS

Ashwini Yalnaik^*
, M. S. Ranganath^*
, Balachandra Hadimani^*
, B. G. Sandhya^*
, Venkatesh Bhandage^*

^*Corresponding author for this work

School of Computer Engineering

Research output: Contribution to journal › Article › peer-review

Abstract

Given any simple graph G, we introduce a new distance degree based index the first eccentric-degree index ED₁(G) =^∑uv∈E(G)^[e(u)d(u)+ e(v)d(v)], and compute the same for certain special class of graphs. Further, this work is extended towards defining the first eccentric-degree energy where in we investigate the bounds for any simple graph and compute the energy for complete bipartite and complete graphs.

Original language	English
Pages (from-to)	29-40
Number of pages	12
Journal	Global and Stochastic Analysis
Volume	12
Issue number	1
Publication status	Published - 01-2025

All Science Journal Classification (ASJC) codes

Statistics and Probability
Discrete Mathematics and Combinatorics

Cite this

@article{8447e78a19a0495994e75442d9b90a97,

title = "FIRST ECCENTRIC-DEGREE INDEX AND IT{\textquoteright}S ENERGY FOR SOME CLASSES OF GRAPHS",

abstract = "Given any simple graph G, we introduce a new distance degree based index the first eccentric-degree index ED1(G) =∑uv∈E(G)[e(u)d(u)+ e(v)d(v)], and compute the same for certain special class of graphs. Further, this work is extended towards defining the first eccentric-degree energy where in we investigate the bounds for any simple graph and compute the energy for complete bipartite and complete graphs.",

author = "Ashwini Yalnaik and Ranganath, \{M. S.\} and Balachandra Hadimani and Sandhya, \{B. G.\} and Venkatesh Bhandage",

year = "2025",

month = jan,

language = "English",

volume = "12",

pages = "29--40",

journal = "Global and Stochastic Analysis",

issn = "2248-9444",

publisher = "MUK Publications and Distribution",

number = "1",

}

TY - JOUR

T1 - FIRST ECCENTRIC-DEGREE INDEX AND IT’S ENERGY FOR SOME CLASSES OF GRAPHS

AU - Yalnaik, Ashwini

AU - Ranganath, M. S.

AU - Hadimani, Balachandra

AU - Sandhya, B. G.

AU - Bhandage, Venkatesh

PY - 2025/1

Y1 - 2025/1

N2 - Given any simple graph G, we introduce a new distance degree based index the first eccentric-degree index ED1(G) =∑uv∈E(G)[e(u)d(u)+ e(v)d(v)], and compute the same for certain special class of graphs. Further, this work is extended towards defining the first eccentric-degree energy where in we investigate the bounds for any simple graph and compute the energy for complete bipartite and complete graphs.

AB - Given any simple graph G, we introduce a new distance degree based index the first eccentric-degree index ED1(G) =∑uv∈E(G)[e(u)d(u)+ e(v)d(v)], and compute the same for certain special class of graphs. Further, this work is extended towards defining the first eccentric-degree energy where in we investigate the bounds for any simple graph and compute the energy for complete bipartite and complete graphs.

UR - https://www.scopus.com/pages/publications/85209798447

UR - https://www.scopus.com/pages/publications/85209798447#tab=citedBy

M3 - Article

AN - SCOPUS:85209798447

SN - 2248-9444

VL - 12

SP - 29

EP - 40

JO - Global and Stochastic Analysis

JF - Global and Stochastic Analysis

IS - 1

ER -

FIRST ECCENTRIC-DEGREE INDEX AND IT’S ENERGY FOR SOME CLASSES OF GRAPHS

Abstract

All Science Journal Classification (ASJC) codes

Other files and links

Fingerprint

Cite this