2017/06/08 by Ali Zeydi Abdian, Abdian, Ali Zeydi
Computer Science · Mathematics · #05C50 #Combinatorics (math.CO) #F.2.2 #FOS: Mathematics #Graph Labeling and Dimension Problems #Graph theory and applications #Spectral Theory in Mathematical Physics #acm:05C50 #math.CO #msc:05C50
paper · pdf · doi:10.48550/arxiv.1706.02661
This paper characterizes new classes of multicone graph. Note that:In (V_7) Lemma 3.1 and Remark 1 modified and also I noted Lemmas 2.2 and 2.9 are the same. So, I deleted one of them. This version is the final. arXiv admin note: text overlap with arXiv:1703.08728
openalex publication_date 2017/06/08 · arxiv created 2017/11/23 · arxiv updated 2018/03/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The main aim of this study is to characterize new classes of multicone graphs which are determined by their signless Laplacian spectra, their Laplacian spectra and their adjacency spectra. A multicone graph is defined to be the join of a clique and a regular graph. Let P and Kw denote the Petersen graph and a complete graph on w vertices, respectively. In this paper, we show that multicone graphs Kw+P are determined by their signless Laplacian spectra, their Laplacian spectra and their adjacency spectra. Keywords: DS graph; Multicone graph; Signless Laplacian spectrum; Petersen graph.