双圈图的扩展能量的上界
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摘要
图G的扩展能量E_(ex)(G)定义为图的扩展邻接矩阵特征值的绝对值之和。利用分析和基本不等式技巧,得出了双圈图扩展能量的几个上界。
The extended energy of a graph G,denoted by E_(ex)( G),is defined as the sum of the absolute values of all eigenvalues of the extended adjacency matrix of a graph. By using the technique of analysis and basic inequality,some upper bounds for the extended energy of bicyclic graph were obtained.
The extended energy of a graph G,denoted by E_(ex)( G),is defined as the sum of the absolute values of all eigenvalues of the extended adjacency matrix of a graph. By using the technique of analysis and basic inequality,some upper bounds for the extended energy of bicyclic graph were obtained.
引文
[1]GUTMAN I.The energy of a graph[J].Ber.Math.Statist.Sekt.Forschungsz.Graz.,1978,103:1-22.
[2]KOOLEN JH,MOULTON V.Maximal energy graphs[M].Berlin:Springer,2001,196-211.
[4]NIKIFOROV V.The energy of graphs and matrices[J].Journal of Mathematical Analysis&Applications,2007,326(02):1472-1475.
[5]KHARAGHANI H,TAFYEH-REZAIE B.On the Energy of(0,1)matrices[J].Linear Algebra&its Applications,2008,429(8-9):2046-2051.
[6]GUTMAN I,RADENKOVIC S,DORDEVIC S,et al.Totalπ-electron and HOMO energy[J].Chemical Physics Letters,2016,649:148-150.
[7]GUTMAN I.Totalπ-electron energy of conjugated molecules with non-bonding molecular orbitals[J].Zeitschrift für Naturforschung A,2016,71:161-164.
[8]GUTMAN I,RADENKOVIC S,DORDEVIC S,et al.Extending the Mc Clelland formula for totalπ-electron energy[J].Journal of Mathematical Chemistry,2017,6:1-7.
[9]GUTMAN I,FURTULA B.Survey of graph energies[J].Mathematics Interdisciplinary Research,2017,2:85-129.
[10]MILOVANOVICI Z,MILOVANOVIC E I,GUTMAN I.Upper bounds for some graph energies[J].Applied Mathematics and Computation,2017,289:435-443.
[11]LI X L,SHI Y T,GUTMAN I.Graph Energy[M].New York:Springer,2012.
[12]YANG Y Q,XU L,HU C Y.Extended adjacency matrix indices and their applications[J].Journal of Chemical Information and Computer Sciences,1994,34:1140-1145.
[13]DAS K C,GUTMAN I,FURTULA B.On spectral radius and energy of extended adjacency matrix of graphs[J].Applied Mathematics and Computation,2017,296:116-123.
[14]汪赛,李媛.图的关联能量和扩展图能量的新下界[J].南开大学学报(自然科学版),2017,50(06):74-78.
[15]ZHOU B.Energy of a graph[J].Match Communications in Mathematical and in Computer Chemistry,2004,51:11-118.
[16]KOOLEN J,MOULTON V.Maximal energy graphs[J].Advances in Applied Mathematics,2001,26:47-52.
[17]ADIGA C,RAKSHITH B R.Upper bounds for the extended energy of graphs and some extended equienergetic graphs[J].Opuscula Mathematica,2018,38(01):5-13.
[2]KOOLEN JH,MOULTON V.Maximal energy graphs[M].Berlin:Springer,2001,196-211.
[4]NIKIFOROV V.The energy of graphs and matrices[J].Journal of Mathematical Analysis&Applications,2007,326(02):1472-1475.
[5]KHARAGHANI H,TAFYEH-REZAIE B.On the Energy of(0,1)matrices[J].Linear Algebra&its Applications,2008,429(8-9):2046-2051.
[6]GUTMAN I,RADENKOVIC S,DORDEVIC S,et al.Totalπ-electron and HOMO energy[J].Chemical Physics Letters,2016,649:148-150.
[7]GUTMAN I.Totalπ-electron energy of conjugated molecules with non-bonding molecular orbitals[J].Zeitschrift für Naturforschung A,2016,71:161-164.
[8]GUTMAN I,RADENKOVIC S,DORDEVIC S,et al.Extending the Mc Clelland formula for totalπ-electron energy[J].Journal of Mathematical Chemistry,2017,6:1-7.
[9]GUTMAN I,FURTULA B.Survey of graph energies[J].Mathematics Interdisciplinary Research,2017,2:85-129.
[10]MILOVANOVICI Z,MILOVANOVIC E I,GUTMAN I.Upper bounds for some graph energies[J].Applied Mathematics and Computation,2017,289:435-443.
[11]LI X L,SHI Y T,GUTMAN I.Graph Energy[M].New York:Springer,2012.
[12]YANG Y Q,XU L,HU C Y.Extended adjacency matrix indices and their applications[J].Journal of Chemical Information and Computer Sciences,1994,34:1140-1145.
[13]DAS K C,GUTMAN I,FURTULA B.On spectral radius and energy of extended adjacency matrix of graphs[J].Applied Mathematics and Computation,2017,296:116-123.
[14]汪赛,李媛.图的关联能量和扩展图能量的新下界[J].南开大学学报(自然科学版),2017,50(06):74-78.
[15]ZHOU B.Energy of a graph[J].Match Communications in Mathematical and in Computer Chemistry,2004,51:11-118.
[16]KOOLEN J,MOULTON V.Maximal energy graphs[J].Advances in Applied Mathematics,2001,26:47-52.
[17]ADIGA C,RAKSHITH B R.Upper bounds for the extended energy of graphs and some extended equienergetic graphs[J].Opuscula Mathematica,2018,38(01):5-13.