메뉴 건너뛰기




Volumn 70, Issue 1, 2013, Pages 85-96

Note on the HOMO-LUMO index of graphs

Author keywords

[No Author keywords available]

Indexed keywords


EID: 84898760353     PISSN: 03406253     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (92)

References (49)
  • 1
    • 0000136320 scopus 로고    scopus 로고
    • Reduced HOMO-LUMO gap as an index of kinetic stability for polycyclic aromatic hydrocarbons
    • J. Aihara, Reduced HOMO-LUMO gap as an index of kinetic stability for polycyclic aromatic hydrocarbons, J. Phys. Chem. A 103 (1999) 7487-7495.
    • (1999) J. Phys. Chem. A , vol.103 , pp. 7487-7495
    • Aihara, J.1
  • 4
    • 11944253901 scopus 로고    scopus 로고
    • Cambridge Univ. Press, Cambridge
    • B. Bollobás, Random Graphs, Cambridge Univ. Press, Cambridge, 2001.
    • (2001) Random Graphs
    • Bollobás, B.1
  • 8
    • 0000155731 scopus 로고
    • The algebraic multiplicity of the number zero in the spectrum of a bipartite graph
    • D. M. Cvetković, I. Gutman, The algebraic multiplicity of the number zero in the spectrum of a bipartite graph, Matematički Vesnik (Beograd) 9 (1972) 141-150.
    • (1972) Matematički Vesnik (Beograd) , vol.9 , pp. 141-150
    • Cvetković, D.M.1    Gutman, I.2
  • 11
    • 0033440277 scopus 로고    scopus 로고
    • The distribution of nodes of given degree in random trees
    • M. Drmota, B. Gittenberger, The distribution of nodes of given degree in random trees, J. Graph Theory 31 (1999) 227-253.
    • (1999) J. Graph Theory , vol.31 , pp. 227-253
    • Drmota, M.1    Gittenberger, B.2
  • 14
    • 77957006407 scopus 로고    scopus 로고
    • HOMO-LUMO maps for fullerenes
    • P. W. Fowler, T. Pisanski, HOMO-LUMO maps for fullerenes, Acta Chim. Slov. 57 (2010) 513-517.
    • (2010) Acta Chim. Slov. , vol.57 , pp. 513-517
    • Fowler, P.W.1    Pisanski, T.2
  • 15
    • 51249179367 scopus 로고
    • Inverse of trees
    • C. D. Godsil, Inverse of trees, Combinatorica 5 (1985) 33-39.
    • (1985) Combinatorica , vol.5 , pp. 33-39
    • Godsil, C.D.1
  • 16
    • 2842605908 scopus 로고
    • Estimation of the HOMO-LUMO separation
    • A. Graovac, I. Gutman, Estimation of the HOMO-LUMO separation, Croat. Chem. Acta 53 (1980) 45-50.
    • (1980) Croat. Chem. Acta , vol.53 , pp. 45-50
    • Graovac, A.1    Gutman, I.2
  • 18
    • 0039371782 scopus 로고
    • Zusammenhang von graphentheorie und mo-theorie von molekeln mit systemen konjugierter bindungen
    • H. H. Günthard, H. Primas, Zusammenhang von Graphentheorie und MO-Theorie von Molekeln mit Systemen konjugierter Bindungen, Helv. Chim. Acta 39 (1956) 1645-1653.
    • (1956) Helv. Chim. Acta , vol.39 , pp. 1645-1653
    • Günthard, H.H.1    Primas, H.2
  • 19
    • 0002030267 scopus 로고
    • Acyclic systems with extremal hückel π-electron energy
    • I. Gutman, Acyclic systems with extremal Hückel π-electron energy, Theor. Chim. Acta 45 (1977) 79-87.
    • (1977) Theor. Chim. Acta , vol.45 , pp. 79-87
    • Gutman, I.1
  • 21
    • 84898755511 scopus 로고
    • Total π-electron energy and molecular topology. Bibliography
    • I. Gutman, Total π-electron energy and molecular topology. Bibliography, MATCH Commun. Math. Comput. Chem. 4 (1978) 195-200.
    • (1978) MATCH Commun. Math. Comput. Chem. , vol.4 , pp. 195-200
    • Gutman, I.1
  • 22
    • 0039965692 scopus 로고
    • Note on a topological property of the HOMO-LUMO separation
    • I. Gutman, Note on a topological property of the HOMO-LUMO separation, Z. Naturforsch. 35a (1980) 458-460.
    • (1980) Z. Naturforsch , vol.35 A , pp. 458-460
    • Gutman, I.1
  • 23
    • 0001860484 scopus 로고
    • Total π-electron energy of benzenoid hydrocarbons
    • I. Gutman, Total π-electron energy of benzenoid hydrocarbons, Topics Curr. Chem. 162 (1992) 29-63.
    • (1992) Topics Curr. Chem. , vol.162 , pp. 29-63
    • Gutman, I.1
  • 24
    • 31544440433 scopus 로고    scopus 로고
    • Topology and stability of conjugated hydrocarbons. The dependence of total π-electron energy on molecular topology
    • I. Gutman, Topology and stability of conjugated hydrocarbons. The dependence of total π-electron energy on molecular topology, J. Serb. Chem. Soc. 70 (2005) 441-456.
    • (2005) J. Serb. Chem. Soc. , vol.70 , pp. 441-456
    • Gutman, I.1
  • 25
    • 0039965693 scopus 로고
    • A graph-theoretical analysis of the HOMO-LUMO separation in conjugated hydrocarbons
    • I. Gutman, J. V. Knop, N. Trinajstić, A graph-theoretical analysis of the HOMO-LUMO separation in conjugated hydrocarbons, Z. Naturforsch. 29b (1974) 80-82.
    • (1974) Z. Naturforsch. , vol.29 B , pp. 80-82
    • Gutman, I.1    Knop, J.V.2    Trinajstić, N.3
  • 28
    • 0041152653 scopus 로고
    • An approximate topological formula for the HOMO-LUMO separation in alternant hydrocarbons
    • I. Gutman, D. Rouvray, An approximate topological formula for the HOMO-LUMO separation in alternant hydrocarbons, Chem. Phys. Lett. 62 (1979) 384-388.
    • (1979) Chem. Phys. Lett. , vol.62 , pp. 384-388
    • Gutman, I.1    Rouvray, D.2
  • 29
    • 0141621802 scopus 로고
    • A graph-theoretical classification of conjugated hydrocarbons
    • I. Gutman, N. Trinajstić, A graph-theoretical classification of conjugated hydrocarbons, Naturwiss. 60 (1973) 475-475.
    • (1973) Naturwiss. , vol.60 , pp. 475-475
    • Gutman, I.1    Trinajstić, N.2
  • 30
  • 31
    • 0010678641 scopus 로고
    • On the eigenvalues of molecular graphs
    • G. G. Hall, On the eigenvalues of molecular graphs, Mol. Phys. 33 (1977) 551-557.
    • (1977) Mol. Phys. , vol.33 , pp. 551-557
    • Hall, G.G.1
  • 32
    • 79955790471 scopus 로고    scopus 로고
    • Solution to a conjecture on the maximal energy of bipartite bicyclic graphs
    • B. Huo, S. Ji, X. Li, Y. Shi, Solution to a conjecture on the maximal energy of bipartite bicyclic graphs, Lin. Algebra Appl. 435 (2011) 804-810.
    • (2011) Lin. Algebra Appl. , vol.435 , pp. 804-810
    • Huo, B.1    Ji, S.2    Li, X.3    Shi, Y.4
  • 33
    • 79952343708 scopus 로고    scopus 로고
    • Complete solution to a conjecture on the maximal energy of unicyclic graphs
    • B. Huo, X. Li, Y. Shi, Complete solution to a conjecture on the maximal energy of unicyclic graphs, Eur. J. Comb. 32 (2011) 662-673.
    • (2011) Eur. J. Comb. , vol.32 , pp. 662-673
    • Huo, B.1    Li, X.2    Shi, Y.3
  • 35
    • 0038238082 scopus 로고    scopus 로고
    • Maximal energy bipartite graphs
    • J. H. Koolen, V. Moulton, Maximal energy bipartite graphs, Graphs Comb. 19 (2003) 131-135.
    • (2003) Graphs Comb. , vol.19 , pp. 131-135
    • Koolen, J.H.1    Moulton, V.2
  • 36
    • 0001628757 scopus 로고    scopus 로고
    • Improving the McClelland inequality for total π-electron energy
    • J. H. Koolen, V. Moulton, I. Gutman, Improving the McClelland inequality for total π-electron energy, Chem. Phys. Lett. 320 (2000) 213-216.
    • (2000) Chem. Phys. Lett. , vol.320 , pp. 213-216
    • Koolen, J.H.1    Moulton, V.2    Gutman, I.3
  • 38
    • 84961472864 scopus 로고
    • Evaluation of HOMO-LUMO separation and homologous linearity of conjugated molecules
    • Y. S. Kiang, E. T. Chen, Evaluation of HOMO-LUMO separation and homologous linearity of conjugated molecules, Pure Appl. Chem. 55 (1983) 283-288.
    • (1983) Pure Appl. Chem. , vol.55 , pp. 283-288
    • Kiang, Y.S.1    Chen, E.T.2
  • 39
    • 79957787656 scopus 로고    scopus 로고
    • The asymptotic value of the Randić index for trees
    • X. Li, Y. Li, The asymptotic value of the Randić index for trees, Adv. Appl. Math. 47 (2011) 365-378.
    • (2011) Adv. Appl. Math. , vol.47 , pp. 365-378
    • Li, X.1    Li, Y.2
  • 41
    • 84898757687 scopus 로고    scopus 로고
    • Median eigenvalues and the HOMO-LUMO index of graphs
    • submitted
    • B. Mohar, Median eigenvalues and the HOMO-LUMO index of graphs, J. Comb. Theory B, submitted.
    • J. Comb. Theory B
    • Mohar, B.1
  • 42
    • 84898716896 scopus 로고    scopus 로고
    • Median eigenvalues of bipartite planar graphs
    • B. Mohar, Median eigenvalues of bipartite planar graphs, MATCH Commun. Math. Comput. Chem. 70 (2013) 79-84.
    • (2013) MATCH Commun. Math. Comput. Chem. , vol.70 , pp. 79-84
    • Mohar, B.1
  • 43
    • 0000902966 scopus 로고
    • The number of trees
    • R. Otter, The number of trees, Ann. Math. 49 (1948) 583-599.
    • (1948) Ann. Math. , vol.49 , pp. 583-599
    • Otter, R.1
  • 44
    • 0039018010 scopus 로고
    • The distribution of degrees in a large random tree
    • R. W. Robison, A. J. Schwenk, The distribution of degrees in a large random tree, Discr. Math. 12 (1975) 359-372.
    • (1975) Discr. Math. , vol.12 , pp. 359-372
    • Robison, R.W.1    Schwenk, A.J.2
  • 45
    • 0037152952 scopus 로고    scopus 로고
    • HOMO-LUMO gap as an index of molecular size and structure for polycyclic aromatic hydrocarbons (PAHs) and asphaltenes: A theoretical study
    • Y. Ruiz-Morales, HOMO-LUMO gap as an index of molecular size and structure for polycyclic aromatic hydrocarbons (PAHs) and asphaltenes: a theoretical study, J. Phys. Chem. A 106 (2002) 11283-11308.
    • (2002) J. Phys. Chem. A , vol.106 , pp. 11283-11308
    • Ruiz-Morales, Y.1
  • 46
    • 0013062678 scopus 로고
    • Bounds on the smallest positive eigenvalue of a tree with perfect matchings
    • J. Shao, Y. Hong, Bounds on the smallest positive eigenvalue of a tree with perfect matchings, Chinese Sci. Bull. 9 (1992) 713-717.
    • (1992) Chinese Sci. Bull. , vol.9 , pp. 713-717
    • Shao, J.1    Hong, Y.2
  • 48
    • 84883396888 scopus 로고    scopus 로고
    • Energy bounds for graphs with fixed cyclomatic number
    • S. Wagner, Energy bounds for graphs with fixed cyclomatic number, MATCH Commun. Math. Comput. Chem. 68 (2012) 661-674.
    • (2012) MATCH Commun. Math. Comput. Chem. , vol.68 , pp. 661-674
    • Wagner, S.1
  • 49
    • 0037566618 scopus 로고    scopus 로고
    • Acyclic molecules with greatest HOMO-LUMO separation
    • F. Zhang, A. Chang, Acyclic molecules with greatest HOMO-LUMO separation, Discr. Appl. Math. 98 (1999) 165-171.
    • (1999) Discr. Appl. Math. , vol.98 , pp. 165-171
    • Zhang, F.1    Chang, A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.