Geodesic
Extremal unicyclic graphs with minimal distance spectral radius
Discussiones Mathematicae. Graph Theory, Tome 34 (2014) no. 4, pp. 735-749

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The distance spectral radius ρ(G) of a graph G is the largest eigenvalue of the distance matrix D(G). Let 𝒰 (n,m) be the class of unicyclic graphs of order n with given matching number m (m ≠ 3). In this paper, we determine the extremal unicyclic graph which has minimal distance spectral radius in 𝒰 (n,m) C_n.
Keywords: distance matrix, distance spectral radius, unicyclic graph, matching 
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     title = {Extremal unicyclic graphs with minimal distance spectral radius},
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Lu, Hongyan; Luo, Jing; Zhu, Zhongxun. Extremal unicyclic graphs with minimal distance spectral radius. Discussiones Mathematicae. Graph Theory, Tome 34 (2014) no. 4, pp. 735-749. http://geodesic.mathdoc.fr/item/DMGT_2014_34_4_a6/