메뉴 건너뛰기




Volumn 49, Issue 10, 2006, Pages 1383-1391

On the number of matchings of graphs formed by a graph operation

Author keywords

Hosoya index; Matching; Matching polynomial; Oriented incident matrix; Skew adjacency matrix

Indexed keywords


EID: 33845354570     PISSN: 10069283     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11425-006-2014-4     Document Type: Article
Times cited : (15)

References (22)
  • 1
  • 3
    • 0001219776 scopus 로고
    • Topological index, a newly proposed quantity characterizing the topological nature of structural isomers of saturated hydrocarbons
    • Hosoya H. Topological index, a newly proposed quantity characterizing the topological nature of structural isomers of saturated hydrocarbons. Bull Chem Soc Jpn, 1971, 44: 2332-2339
    • (1971) Bull Chem Soc Jpn , vol.44 , pp. 2332-2339
    • Hosoya, H.1
  • 4
    • 0002323724 scopus 로고
    • An introduction to matching polynomials
    • Farrell E J. An introduction to matching polynomials. J Combin theory Ser B, 1979, 27: 75-86
    • (1979) J Combin Theory Ser B , vol.27 , pp. 75-86
    • Farrell, E.J.1
  • 5
    • 0041179871 scopus 로고
    • D-graphs, I. An introduction to graphs whose matching polynomials are determinants of matrices
    • Farrell E J, Wahid S A. D-graphs, I. An introduction to graphs whose matching polynomials are determinants of matrices. Bull Inst Combin Appl, 1995, 15: 81-86
    • (1995) Bull Inst Combin Appl , vol.15 , pp. 81-86
    • Farrell, E.J.1    Wahid, S.A.2
  • 6
    • 9344230387 scopus 로고    scopus 로고
    • A note on the number of matchings and independent sets in trees
    • Fishermann M, Volkmann L, Rautenbach D. A note on the number of matchings and independent sets in trees. Discrete Appl Math, 2005, 145: 483-489
    • (2005) Discrete Appl Math , vol.145 , pp. 483-489
    • Fishermann, M.1    Volkmann, L.2    Rautenbach, D.3
  • 7
    • 0000886046 scopus 로고
    • General properties of polymer systems
    • Gruber C, Kunz H. General properties of polymer systems. Comm Math Phys, 1971, 22: 133-161
    • (1971) Comm Math Phys , vol.22 , pp. 133-161
    • Gruber, C.1    Kunz, H.2
  • 10
    • 1842689997 scopus 로고    scopus 로고
    • Wiener-Hosoya index-a novel graph theoretical molecular descriptor
    • Randic M. Wiener-Hosoya index-a novel graph theoretical molecular descriptor. J Chem Inf Comput Sci, 2004, 44: 373-377
    • (2004) J Chem Inf Comput Sci , vol.44 , pp. 373-377
    • Randic, M.1
  • 11
    • 0035353661 scopus 로고    scopus 로고
    • On interpretation of well-known topological indices
    • Randic M, Zupan J. On interpretation of well-known topological indices. J Chem Inform Comput Sci, 2001, 41: 550-560
    • (2001) J Chem Inform Comput Sci , vol.41 , pp. 550-560
    • Randic, M.1    Zupan, J.2
  • 12
    • 27744451916 scopus 로고    scopus 로고
    • On the matching polynomials of graphs with small number of cycles of even length
    • Yan W G, Yeh Y N, Zhang F J. On the matching polynomials of graphs with small number of cycles of even length. Intern J Quant Chem, 2005, 105: 124-130
    • (2005) Intern J Quant Chem , vol.105 , pp. 124-130
    • Yan, W.G.1    Yeh, Y.N.2    Zhang, F.J.3
  • 13
    • 20444486195 scopus 로고    scopus 로고
    • On the minimal energy of trees with a given diameter
    • Yan W G, Ye L Z. On the minimal energy of trees with a given diameter. Appl Math Lett, 2005, 18: 1046-1052
    • (2005) Appl Math Lett , vol.18 , pp. 1046-1052
    • Yan, W.G.1    Ye, L.Z.2
  • 14
    • 27544454176 scopus 로고    scopus 로고
    • On the maximal energy and the Hosoya index of a type of trees with many pendant vertices
    • Yan W G, Ye L Z. On the maximal energy and the Hosoya index of a type of trees with many pendant vertices. MATCH Commun Math Comput Chem, 2005, 53: 449-459
    • (2005) MATCH Commun Math Comput Chem , vol.53 , pp. 449-459
    • Yan, W.G.1    Ye, L.Z.2
  • 15
    • 0041294750 scopus 로고    scopus 로고
    • Extremal hexagonal chains concerning largest eigenvalue
    • Ser A
    • Zhang L Z, Tian F. Extremal hexagonal chains concerning largest eigenvalue. Sci China, Ser A, 2001, 44: 1089-1097
    • (2001) Sci China , vol.44 , pp. 1089-1097
    • Zhang, L.Z.1    Tian, F.2
  • 16
    • 0009002383 scopus 로고
    • Two-dimensional monomer-dimer systems are computationally intractable
    • Jerrum M. Two-dimensional monomer-dimer systems are computationally intractable. J Stat Phys, 1987, 48: 121-134
    • (1987) J Stat Phys , vol.48 , pp. 121-134
    • Jerrum, M.1
  • 17
    • 0346401580 scopus 로고    scopus 로고
    • Homogeneous multivariate polynomials with the half-plane property
    • Choe Y B, Oxley J G, Sokal A D, et al. Homogeneous multivariate polynomials with the half-plane property. Adv Appl Math, 2004, 32: 88-187
    • (2004) Adv Appl Math , vol.32 , pp. 88-187
    • Choe, Y.B.1    Oxley, J.G.2    Sokal, A.D.3
  • 18
    • 0030636957 scopus 로고    scopus 로고
    • Enumeration of perfect matchings in graphs with reflective symmetry
    • Ciucu M. Enumeration of perfect matchings in graphs with reflective symmetry. J Combin Theory Ser A, 1997, 77: 67-97
    • (1997) J Combin Theory Ser A , vol.77 , pp. 67-97
    • Ciucu, M.1
  • 19
    • 84867932280 scopus 로고    scopus 로고
    • On acyclic systems with minimal Hosoya index
    • Hou Y P. On acyclic systems with minimal Hosoya index. Discrete Appl Math, 2003, 119: 251-257
    • (2003) Discrete Appl Math , vol.119 , pp. 251-257
    • Hou, Y.P.1
  • 20
    • 0043286570 scopus 로고    scopus 로고
    • The number of matchings of low order in hexagonal systems
    • Klabjan D, Mohar B. The number of matchings of low order in hexagonal systems. Discrete Math, 1998, 186: 167-175
    • (1998) Discrete Math , vol.186 , pp. 167-175
    • Klabjan, D.1    Mohar, B.2
  • 21
    • 6344223619 scopus 로고    scopus 로고
    • Matching polynomials and duality
    • Lass B. Matching polynomials and duality. Combinatorica, 2004, 24: 427-440
    • (2004) Combinatorica , vol.24 , pp. 427-440
    • Lass, B.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.