TY - JOUR
T1 - Spectra of F-sum and F-product of graphs
AU - Adiga, Chandrashekar
AU - Rakshith, B. R.
N1 - Publisher Copyright:
© 2018 Jangjeon Research Institute for Mathematical Sciences and Physics. All rights reserved.
PY - 2018
Y1 - 2018
N2 - Several graph operations based on subdivision graph and its variants have been introduced by many researchers and their spectral properties have been studied. The F-sum and F-product of graphs are one among these graph operations. In literature, many topological indices of F-sum and F-product of graphs have been examined. In this paper, we first introduce two matrix forms named as F-sum matrix and F-product matrix and describe their spectra, and then using the spectra of these matrices, we compute the spectra of F-sum and F-product of graphs.
AB - Several graph operations based on subdivision graph and its variants have been introduced by many researchers and their spectral properties have been studied. The F-sum and F-product of graphs are one among these graph operations. In literature, many topological indices of F-sum and F-product of graphs have been examined. In this paper, we first introduce two matrix forms named as F-sum matrix and F-product matrix and describe their spectra, and then using the spectra of these matrices, we compute the spectra of F-sum and F-product of graphs.
UR - https://www.scopus.com/pages/publications/85088575176
UR - https://www.scopus.com/pages/publications/85088575176#tab=citedBy
U2 - 10.17777/pjms2018.21.2.319
DO - 10.17777/pjms2018.21.2.319
M3 - Article
AN - SCOPUS:85088575176
SN - 1598-7264
VL - 21
SP - 819
EP - 828
JO - Proceedings of the Jangjeon Mathematical Society
JF - Proceedings of the Jangjeon Mathematical Society
IS - 2
ER -