Extremal Degree-Product Indices of Graphs with Fixed Number of Pendant Vertices and Cyclomatic Number
نویسندگان
چکیده
منابع مشابه
Semiharmonic graphs with fixed cyclomatic number
Let the trunk of a graph G be the graph obtained by removing all leaves of G. We prove that, for every integer c ≥ 2, there are at most finitely many trunks of semiharmonic graphs with cyclomatic number c — in contrast to the fact established by the last two of the present authors in their paper Semiharmonic Bicyclic Graphs (this journal) that there are infinitely many connected semiharmonic gr...
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AMS Mathematics Subject Classification (2000): 05C50
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the first zagreb index $m_1$ of a graph $g$ is equal to the sum of squaresof degrees of the vertices of $g$. goubko proved that for trees with $n_1$pendent vertices, $m_1 geq 9,n_1-16$. we show how this result can beextended to hold for any connected graph with cyclomatic number $gamma geq 0$.in addition, graphs with $n$ vertices, $n_1$ pendent vertices, cyclomaticnumber $gamma$, and minimal $m...
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ژورنال
عنوان ژورنال: International Letters of Chemistry, Physics and Astronomy
سال: 2015
ISSN: 2299-3843
DOI: 10.18052/www.scipress.com/ilcpa.59.53