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- W3039772204 abstract "In this paper, we study the properties and structure of the maximal-adjacency-spectrum unicyclic graphs with given maximum degree. We obtain some necessary conditions on the maximal-adjacency-spectrum unicyclic graphs in the set of unicyclic graphs with <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M1><mml:mi>n</mml:mi></mml:math> vertices and maximum degree <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M2><mml:mi mathvariant=normal>Δ</mml:mi></mml:math> and describe the structure of the maximal-adjacency-spectrum unicyclic graphs in the set. Besides, we also give a new upper bound on the adjacency spectral radius of unicyclic graphs, and this new upper bound is the best upper bound expressed by vertices <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M3><mml:mi>n</mml:mi></mml:math> and maximum degree <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M4><mml:mi mathvariant=normal>Δ</mml:mi></mml:math> from now on." @default.
- W3039772204 created "2020-07-10" @default.
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- W3039772204 date "2020-07-06" @default.
- W3039772204 modified "2023-10-17" @default.
- W3039772204 title "On the Maximal-Adjacency-Spectrum Unicyclic Graphs with Given Maximum Degree" @default.
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- W3039772204 doi "https://doi.org/10.1155/2020/9861834" @default.
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