《山东大学学报(理学版)》 ›› 2019, Vol. 54 ›› Issue (6): 53-58.doi: 10.6040/j.issn.1671-9352.0.2018.300
王维忠,周琨强
WANG Wei-zhong, ZHOU Kun-qiang
摘要： 主要建立了新的概念——混合图M的埃尔米特-关联能量HIE(M)=∑ni=1(qi)1/2(qi是M的埃尔米特-拟拉普拉斯矩阵的第i个特征值),利用M的顶点数、边数及最大度,给出了M的埃尔米特-关联能量的界。
中图分类号:
| [1] LIU Jianxi, LI Xueliang. Hermitian-adjacency matrices and Hermitian energies of mixed graphs[J]. Linear Algebra and Its Applications, 2015, 466:182-207. [2] YU Guihai, QU Hui. Hermitian Laplacian matrix and positive of mixed graphs[J]. Applied Mathematics and Computation, 2015, 269:70-76. [3] YU Guihai, LIU Xin, QU Hui. Singularity of Hermitian(quasi-)Laplacian matrix of mixed graphs[J]. Applied Mathematics and Computation, 2017, 293:287-292. [4] JOOYANDEH M R, KIANI D, MIRZAKHAH M. Incidence energy of a graph[J]. MATCH Communications in Mathematical and in Computer Chemistry, 2009, 62(3):561-572. [5] WANG Weizhong, YANG Dong. Bounds for incidence energy of some graphs[J]. Journal of Applied Mathematics, 2013, 2013:1-7. http://dx.doi.org/10.1155/2013/757542. [6] WANG Weizhong, LUO Yanfeng, GAO Xing. On incidence energy of some graphs[J]. Ars Combinatoria, 2014, 114:427-436. [7] GUTMAN I, KIANI D, MIRZAKHAH M. On incidence energy of graphs[J]. MATCH Communications in Mathematical and in Computer Chemistry, 2009, 62(3):573-580. [8] GUTMAN I, KIANI D, MIRZAKHAH M, et al. On incidence energy of a graph[J]. Linear Algebra and Its Applications, 2009, 431(8):1223-1233. [9] ZHOU Bo. More upper bounds for the incidence energy[J]. MATCH Communications in Mathematical and in Computer Chemistry, 2010, 64(1):123-128. [10] ZHANG Jianbin, LI Jianping. New results on the incidence energy of graphs[J]. MATCH Communications in Mathematical and in Computer Chemistry, 2012, 68(3):777-803. [11] ROJO O, LENES E. A sharp upper bound on the incidence energy of graphs in terms of connectivity[J]. Linear Algebra and Its Applications, 2013, 438(3):1485-1493. [12] DAS K C, GUTMAN I. On incidence energy of graphs[J]. Linear Algebra and Its Applications, 2014, 446:329-344. [13] MADEN A D. New bounds on the incidence energy, randic energy and randic estrada index[J]. MATCH Communications in Mathematical and in Computer Chemistry, 2015, 74(2):367-387. [14] ZHANG Xiaodong, LI Jiongsheng. The Laplacian spectrum of a mixed graph[J]. Linear Algebra and Its Applications, 2002, 353(1/2/3):11-20. [15] BAPAT R B. Graph and matrices[M]. London: Springer, 2010. [16] HORN R A, JOHNSON C R. Matrix analysis[M]. 2 eds. New York: Cambridge University Press, 2012. [17] GUTMAN I, TRINAJSTIC N. Graph theory and molecular orbitals: total π-electron energy of alternant hydrocarbons[J]. Chemical Physics Letters, 1972, 17(4):535-538. |
| [1] | 张海东,王维忠. 混合图的埃尔米特-广义Randic拟拉普拉斯矩阵和埃尔米特-广义Randic关联能量[J]. 《山东大学学报(理学版)》, 2022, 57(3): 78-84. |
|
||
