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• W2952481199 abstract "Core-satellite graphs (sometimes referred to as generalized friendship graphs) are an interesting class of graphs that generalize many well known types of graphs. In this paper we show that two popular clustering measures, the average Watts-Strogatz clustering coefficient and the transitivity index, diverge when the graph size increases. We also show that these graphs are disassortative. In addition, we completely describe the spectrum of the adjacency and Laplacian matrices associated with core-satellite graphs. Finally, we introduce the class of generalized core-satellite graphs, and we analyze the spectral properties of such graphs." @default.
• W2952481199 created "2019-06-27" @default.
• W2952481199 creator A5042185860 @default.
• W2952481199 creator A5053109099 @default.
• W2952481199 date "2015-10-08" @default.
• W2952481199 modified "2023-09-27" @default.
• W2952481199 title "Core-satellite Graphs. Clustering, Assortativity and Spectral Properties" @default.
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