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Spectra of F-sum graphs and F-product graphs

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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 graphs and F-product graphs are one among these graph operations. In literature, many topological indices of F-sum graphs and F-product graphs have been examined. In this paper, we rst 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 graphs and F-product graphs.

Abstract

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 graphs and F-product graphs are one among these graph operations. In literature, many topological indices of F-sum graphs and F-product graphs have been examined. In this paper, we rst 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 graphs and F-product graphs.

참고문헌 (19)

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