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Spectral redemption in clustering sparse networks. [PDF]
Krzakala F +6 more
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Bayes Node Energy Polynomial Distribution to Improve Routing in Wireless Sensor Network. [PDF]
Palanisamy T, Krishnasamy KN.
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Retinal Artery-Vein Classification via Topology Estimation. [PDF]
Estrada R +5 more
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Collective consciousness and its pathologies: understanding the failure of AIDS control and treatment in the United States. [PDF]
Wallace RM +3 more
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On the multiplicity of Laplacian eigenvalues for unicyclic graphs [PDF]
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Wen, Fei, Huang, Qiongxiang
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Linear Algebra and its Applications, 2021
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Rodrigo O. Braga +2 more
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Rodrigo O. Braga +2 more
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On broadcasting in unicyclic graphs
Journal of Combinatorial Optimization, 2008zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hovhannes A. Harutyunyan +1 more
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Graphs and Combinatorics, 1987
We study lexicographic ordering of unicyclic graphs by spectral moments as well as the ordering by the largest eigenvalue. If the length of the cycle is fixed, extremal graphs in the first ordering are obtained by attaching a star and a path to a cycle. For the other ordering minimal graphs are not known.
Dragos M. Cvetkovic, Peter Rowlinson
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We study lexicographic ordering of unicyclic graphs by spectral moments as well as the ordering by the largest eigenvalue. If the length of the cycle is fixed, extremal graphs in the first ordering are obtained by attaching a star and a path to a cycle. For the other ordering minimal graphs are not known.
Dragos M. Cvetkovic, Peter Rowlinson
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THE GUTMAN INDEX OF UNICYCLIC GRAPHS
Discrete Mathematics, Algorithms and Applications, 2012Let G be a connected graph with vertex set V(G). The Gutman index of G is defined as S(G) = ∑{u, v}⊆V(G) d(u)d(v)d(u, v), where d(u) is the degree of vertex u, and d(u, v) denotes the distance between u and v. In this paper, we characterize n-vertex unicyclic graphs with girth k, having minimal Gutman index.
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