Publication:
Spectral study of the Geometric-Arithmetic Index

Thumbnail Image
Identifiers
URI: https://hdl.handle.net/10016/35065
ISSN: 0340-6253
UXXI: AR/0000016841
Files
spectral_MATCH_2015_ps.pdf (230.52 KB)
Publication date
2015-07-01
Defense date
Authors
Advisors
Tutors
Journal Title
Journal ISSN
Volume Title
Publisher
Ivan Gutman, Faculty of Science (University of Kragujevac, Serbia)
Impact
Google Scholar
Export
Research Projects
Organizational Units
Journal Issue
Abstract
The concept of geometric-arithmetic index was introduced in the chemical graph theory recently, but it has shown to be useful. One of the main aims of algebraic graph theory is to determine how, or whether, properties of graphs are reected in the algebraic properties of some matrices. The aim of this paper is to study the geometric-arithmetic index GA1 from an algebraic viewpoint. Since this index is related to the degree of the vertices of the graph, our main tool will be an appropriate matrix that is a modification of the classical adjacency matrix involving the degrees of the vertices.
Description
Keywords
Geometric–arithmetic index, Spectral properties, Laplacian matrix, Laplacian eigenvalues, Topological index, Graph invariant
Bibliographic citation
MATCH-Communications in Mathematical and in Computer Chemistry, (2015), 74(1), 121-135.
Collections
DM - GAMA - Artículos de Revistas