On eigenspaces of some compound complex unit gain graphs
عنوان مقاله: On eigenspaces of some compound complex unit gain graphs
شناسه ملی مقاله: JR_COMB-11-3_003
منتشر شده در در سال 1401
شناسه ملی مقاله: JR_COMB-11-3_003
منتشر شده در در سال 1401
مشخصات نویسندگان مقاله:
Francesco Belardo - Maurizio Brunetti Dipartimento di Matematica e Applicazioni, Università di Napoli ‘Federico II’, Naples, Italy
Maurizio Brunetti - Maurizio Brunetti Dipartimento di Matematica e Applicazioni, Università di Napoli ‘Federico II’, Naples, Italy
خلاصه مقاله:
Francesco Belardo - Maurizio Brunetti Dipartimento di Matematica e Applicazioni, Università di Napoli ‘Federico II’, Naples, Italy
Maurizio Brunetti - Maurizio Brunetti Dipartimento di Matematica e Applicazioni, Università di Napoli ‘Federico II’, Naples, Italy
Let \mathbb T be the multiplicative group of complex units, and let L(\Phi) denote the Laplacian matrix of a nonempty \mathbb{T}-gain graph \Phi=(\Gamma, \mathbb{T}, \gamma). The gain line graph \mathcal L(\Phi) and the gain subdivision graph \mathcal S(\Phi) are defined up to switching equivalence. We discuss how the eigenspaces determined by the adjacency eigenvalues of \mathcal L(\Phi) and \mathcal S(\Phi) are related with those of L(\Phi).
کلمات کلیدی: Complex unit gain graph, line graph, subdivision graph, oriented gain graph, voltage graph
صفحه اختصاصی مقاله و دریافت فایل کامل: https://civilica.com/doc/1472791/