Main functions and the spectrum of super graphs
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866911169960214528 |
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| author | Arunkumar, G. Cameron, Peter J. Ganeshbabu, R. Nath, Rajat Kanti |
| author_facet | Arunkumar, G. Cameron, Peter J. Ganeshbabu, R. Nath, Rajat Kanti |
| contents | Let A be a graph type and B an equivalence relation on a group $G$. Let $[g]$ be the equivalence class of $g$ with respect to the equivalence relation B. The B superA graph of $G$ is an undirected graph whose vertex set is $G$ and two distinct vertices $g, h \in G$ are adjacent if $[g] = [h]$ or there exist $x \in [g]$ and $y \in [h]$ such that $x$ and $y$ are adjacent in the A graph of $G$. In this paper, we compute spectrum of equality/conjugacy supercommuting graphs of dihedral/dicyclic groups and show that these graphs are not integral. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_00390 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Main functions and the spectrum of super graphs Arunkumar, G. Cameron, Peter J. Ganeshbabu, R. Nath, Rajat Kanti Combinatorics 05C50 Let A be a graph type and B an equivalence relation on a group $G$. Let $[g]$ be the equivalence class of $g$ with respect to the equivalence relation B. The B superA graph of $G$ is an undirected graph whose vertex set is $G$ and two distinct vertices $g, h \in G$ are adjacent if $[g] = [h]$ or there exist $x \in [g]$ and $y \in [h]$ such that $x$ and $y$ are adjacent in the A graph of $G$. In this paper, we compute spectrum of equality/conjugacy supercommuting graphs of dihedral/dicyclic groups and show that these graphs are not integral. |
| title | Main functions and the spectrum of super graphs |
| topic | Combinatorics 05C50 |
| url | https://arxiv.org/abs/2408.00390 |