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Volumn 160, Issue 15, 2012, Pages 2177-2187

The matching energy of a graph

Author keywords

Energy (of a graph); Matching energy; Matching polynomial; Matchings

Indexed keywords

ABSOLUTE VALUES; BASIC PROPERTIES; CHEMICAL APPLICATIONS; EIGENVALUES; ENERGY (OF A GRAPH); GRAPH G; MATCHING ENERGY; MATCHING POLYNOMIAL; MATCHINGS;

EID: 84864753044     PISSN: 0166218X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.dam.2012.06.001     Document Type: Article
Times cited : (96)

References (38)
  • 1
    • 0000109325 scopus 로고
    • A new definition of Dewar-type resonance energies
    • J. Aihara A new definition of Dewar-type resonance energies J. Am. Chem. Soc. 98 1976 2750 2758
    • (1976) J. Am. Chem. Soc. , vol.98 , pp. 2750-2758
    • Aihara, J.1
  • 3
    • 0000070558 scopus 로고    scopus 로고
    • Variable neighborhood search for extremal graphs 2, finding graphs with extremal energy
    • G. Caporossi, D. Cvetković, I. Gutman, and P. Hansen Variable neighborhood search for extremal graphs 2, finding graphs with extremal energy J. Chem. Inf. Comput. Sci. 39 1999 984 996
    • (1999) J. Chem. Inf. Comput. Sci. , vol.39 , pp. 984-996
    • Caporossi, G.1    Cvetković, D.2    Gutman, I.3    Hansen, P.4
  • 4
    • 0346377577 scopus 로고
    • On the calculation of the energy in unsaturated hydrocarbon molecules
    • C.A. Coulson On the calculation of the energy in unsaturated hydrocarbon molecules Proc. Cambridge Phil. Soc. 36 1940 201 203
    • (1940) Proc. Cambridge Phil. Soc. , vol.36 , pp. 201-203
    • Coulson, C.A.1
  • 8
    • 0002323724 scopus 로고
    • An introduction to matching polynomials
    • E.J. Farrell An introduction to matching polynomials J. Comb. Theory B 27 1979 75 86
    • (1979) J. Comb. Theory B , vol.27 , pp. 75-86
    • Farrell, E.J.1
  • 10
    • 0000668731 scopus 로고
    • On the theory of the matching polynomial
    • C.D. Godsil, and I. Gutman On the theory of the matching polynomial J. Graph Theory 5 1981 137 144
    • (1981) J. Graph Theory , vol.5 , pp. 137-144
    • Godsil, C.D.1    Gutman, I.2
  • 11
    • 0141734006 scopus 로고
    • Topological resonance energy is real
    • C.D. Godsil, and I. Gutman Topological resonance energy is real Z. Naturforsch. 34a 1979 776 777
    • (1979) Z. Naturforsch. , vol.34 A , pp. 776-777
    • Godsil, C.D.1    Gutman, I.2
  • 14
    • 0011983412 scopus 로고    scopus 로고
    • The energy of a graph: Old and new results
    • A. Betten, A. Kohnert, R. Laue, A. Wassermann, Springer-Verlag Berlin
    • I. Gutman The energy of a graph: old and new results A. Betten, A. Kohnert, R. Laue, A. Wassermann, Algebraic Combinatorics and Applications 2001 Springer-Verlag Berlin 196 211
    • (2001) Algebraic Combinatorics and Applications , pp. 196-211
    • Gutman, I.1
  • 15
    • 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
  • 16
  • 17
    • 79958788555 scopus 로고
    • Correction of the paper "graphs with greatest number of matchings"
    • I. Gutman Correction of the paper "Graphs with greatest number of matchings" Publ. Inst. Math. (Beograd) (N.S.) 32 1982 61 63
    • (1982) Publ. Inst. Math. (Beograd) (N.S.) , vol.32 , pp. 61-63
    • Gutman, I.1
  • 18
    • 0346815210 scopus 로고
    • Finding tricyclic graphs with a maximal number of matchings - Another example of computer aided research in Graph Theory
    • I. Gutman, and D. Cvetković Finding tricyclic graphs with a maximal number of matchings - another example of computer aided research in Graph Theory Publ. Inst. Math. (Beograd) (N.S.) 35 1984 33 40
    • (1984) Publ. Inst. Math. (Beograd) (N.S.) , vol.35 , pp. 33-40
    • Gutman, I.1    Cvetković, D.2
  • 20
    • 33644852197 scopus 로고    scopus 로고
    • Note on the Coulson integral formula
    • I. Gutman, and M. Mateljević Note on the Coulson integral formula J. Math. Chem. 39 2006 259 266
    • (2006) J. Math. Chem. , vol.39 , pp. 259-266
    • Gutman, I.1    Mateljević, M.2
  • 22
    • 0343657716 scopus 로고
    • Graph theory and molecular orbitals 19, nonparametric resonance energies of arbitrary conjugated systems
    • I. Gutman, M. Milun, and N. Trinajstić Graph theory and molecular orbitals 19, nonparametric resonance energies of arbitrary conjugated systems J. Am. Chem. Soc. 99 1977 1692 1704
    • (1977) J. Am. Chem. Soc. , vol.99 , pp. 1692-1704
    • Gutman, I.1    Milun, M.2    Trinajstić, N.3
  • 25
    • 0022785579 scopus 로고
    • On the ordering of graphs with respect to their matching numbers
    • I. Gutman, and F. Zhang On the ordering of graphs with respect to their matching numbers Discr. Appl. Math. 15 1986 25 33
    • (1986) Discr. Appl. Math. , vol.15 , pp. 25-33
    • Gutman, I.1    Zhang, F.2
  • 26
    • 52149085218 scopus 로고    scopus 로고
    • Strongly regular graphs with maximal energy
    • W.H. Haemers Strongly regular graphs with maximal energy Lin. Algebra Appl. 429 2008 2719 2723
    • (2008) Lin. Algebra Appl. , vol.429 , pp. 2719-2723
    • Haemers, W.H.1
  • 28
    • 78650786264 scopus 로고    scopus 로고
    • Complete solution to a conjecture on the fourth maximal energy tree
    • B. Huo, S. Ji, X. Li, and Y. Shi Complete solution to a conjecture on the fourth maximal energy tree MATCH Commun. Math. Comput. Chem. 66 2011 903 912
    • (2011) MATCH Commun. Math. Comput. Chem. , vol.66 , pp. 903-912
    • Huo, B.1    Ji, S.2    Li, X.3    Shi, Y.4
  • 29
    • 84974146770 scopus 로고
    • The numbers of spanning trees, Hamilton cycles and perfect matchings in a random graph
    • S. Janson The numbers of spanning trees, Hamilton cycles and perfect matchings in a random graph Comb. Probab. Comput. 3 1994 97 126
    • (1994) Comb. Probab. Comput. , vol.3 , pp. 97-126
    • Janson, S.1
  • 30
    • 84968510078 scopus 로고
    • On the arithmetic and geometric means and the Hölder inequality
    • H. Kober On the arithmetic and geometric means and the Hölder inequality Proc. Am. Math. Soc. 59 1958 452 459
    • (1958) Proc. Am. Math. Soc. , vol.59 , pp. 452-459
    • Kober, H.1
  • 32
    • 84864745280 scopus 로고    scopus 로고
    • On the maximal energy trees with one maximum and one second maximum degree vertex
    • J. Li, and X. Li On the maximal energy trees with one maximum and one second maximum degree vertex MATCH Commun. Math. Comput. Chem. 67 2012 525 539
    • (2012) MATCH Commun. Math. Comput. Chem. , vol.67 , pp. 525-539
    • Li, J.1    Li, X.2
  • 33
    • 79958864540 scopus 로고    scopus 로고
    • On the maximal energy tree with two maximum degree vertices
    • J. Li, X. Li, and Y. Shi On the maximal energy tree with two maximum degree vertices Lin. Algebra Appl. 435 2011 2272 2284
    • (2011) Lin. Algebra Appl. , vol.435 , pp. 2272-2284
    • Li, J.1    Li, X.2    Shi, Y.3
  • 35
    • 51149211203 scopus 로고
    • Properties of the latent roots of a matrix: The estimation of π-electron energies
    • B.J. McClelland Properties of the latent roots of a matrix: the estimation of π-electron energies J. Chem. Phys. 54 1971 640 643
    • (1971) J. Chem. Phys. , vol.54 , pp. 640-643
    • McClelland, B.J.1
  • 36
    • 33750626281 scopus 로고    scopus 로고
    • The energy of graphs and matrices
    • V. Nikiforov The energy of graphs and matrices J. Math. Anal. Appl. 326 2007 1472 1475
    • (2007) J. Math. Anal. Appl. , vol.326 , pp. 1472-1475
    • Nikiforov, V.1
  • 37
    • 79958840649 scopus 로고    scopus 로고
    • Extremal energies of trees with a given domination number
    • K. Xu, and L. Feng Extremal energies of trees with a given domination number Lin. Algebra Appl. 435 2011 2382 2393
    • (2011) Lin. Algebra Appl. , vol.435 , pp. 2382-2393
    • Xu, K.1    Feng, L.2
  • 38
    • 0040240648 scopus 로고
    • On the ordering of bipartite graphs with respect to their characteristic polynomials
    • Y. Zhang, F. Zhang, and I. Gutman On the ordering of bipartite graphs with respect to their characteristic polynomials Coll. Sci. Papers Fac. Sci. Kragujevac 9 1988 9 20
    • (1988) Coll. Sci. Papers Fac. Sci. Kragujevac , vol.9 , pp. 9-20
    • Zhang, Y.1    Zhang, F.2    Gutman, I.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.