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On the spectral spread of bicyclic graphs with given girth

โœ Scribed by Wang, Bing; Zhai, Ming-qing; Shu, Jin-long


Book ID
121603398
Publisher
Institute of Applied Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Year
2013
Tongue
English
Weight
282 KB
Volume
29
Category
Article
ISSN
0168-9673

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๐Ÿ“œ SIMILAR VOLUMES


The Laplacian spectral radius of bicycli
โœ Mingqing Zhai; Guanglong Yu; Jinlong Shu ๐Ÿ“‚ Article ๐Ÿ“… 2010 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 622 KB

Let B(n, g) be the class of bicyclic graphs on n vertices with girth g. Let B 1 (n, g) be the subclass of B(n, g) consisting of all bicyclic graphs with two edge-disjoint cycles and B 2 (n, g) = B(n, g) \ B 1 (n, g). This paper determines the unique graph with the maximal Laplacian spectral radius a

Maximizing the spectral radius of bicycl
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Let B(n, g) be the set of bicyclic graphs on n vertices with girth g. In this paper, we determine the unique graph with the maximal spectral radius among all graphs in B(n, g). Moreover, the maximal spectral radius is a decreasing function on g.