메뉴 건너뛰기




Volumn 67, Issue 1-3, 1996, Pages 79-114

Graph theoretical invariants and elementary subgraphs of polyhex and polypent/polyhex systems of chemical relevance

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0042554207     PISSN: 0166218X     EISSN: None     Source Type: Journal    
DOI: 10.1016/0166-218X(95)00012-G     Document Type: Article
Times cited : (4)

References (42)
  • 1
    • 7544236828 scopus 로고
    • PAH and fullerene ions and ion/molecule reactions in interstellar and circumstellar
    • D.K. Bohme, PAH and fullerene ions and ion/molecule reactions in interstellar and circumstellar chemistry, Chem. Rev. 92 (1992), 1487-1508; C.J. Pope, J.A. Marr and J.B. Howard, Chemistry of fullerenes C60 and C70 formation in flames, J. Phys. Chem. 97 (1993) 11 001-11 013.
    • (1992) Chemistry, Chem. Rev. , vol.92 , pp. 1487-1508
    • Bohme, D.K.1
  • 2
    • 0007141578 scopus 로고
    • Chemistry of fullerenes C60 and C70 formation in flames
    • D.K. Bohme, PAH and fullerene ions and ion/molecule reactions in interstellar and circumstellar chemistry, Chem. Rev. 92 (1992), 1487-1508; C.J. Pope, J.A. Marr and J.B. Howard, Chemistry of fullerenes C60 and C70 formation in flames, J. Phys. Chem. 97 (1993) 11 001-11 013.
    • (1993) J. Phys. Chem. , vol.97 , pp. 11001-11013
    • Pope, C.J.1    Marr, J.A.2    Howard, J.B.3
  • 3
    • 21144466020 scopus 로고
    • More about extremal animals
    • J. Bronvoll, B.N. Cyvin and S.J. Cyvin, More about extremal animals. J. Math. Chem, 12 (1993), 109 119; S.J. Cyvin, B.N. Cyvin and J. Brunvoll, Eumeration of benzenoid chemical isomers with a study of constant-isomer series, Top. Curr. Chem. 166 (1993), 65-119.
    • (1993) J. Math. Chem , vol.12 , pp. 109119
    • Bronvoll, J.1    Cyvin, B.N.2    Cyvin, S.J.3
  • 4
    • 21144466020 scopus 로고
    • Eumeration of benzenoid chemical isomers with a study of constant-isomer series
    • J. Bronvoll, B.N. Cyvin and S.J. Cyvin, More about extremal animals. J. Math. Chem, 12 (1993), 109 119; S.J. Cyvin, B.N. Cyvin and J. Brunvoll, Eumeration of benzenoid chemical isomers with a study of constant-isomer series, Top. Curr. Chem. 166 (1993), 65-119.
    • (1993) Top. Curr. Chem. , vol.166 , pp. 65-119
    • Cyvin, S.J.1    Cyvin, B.N.2    Brunvoll, J.3
  • 5
    • 0002477097 scopus 로고
    • Mathematics and the buckyball
    • F. Chung and S. Steinberg, Mathematics and the buckyball, Amer. Scient. 81 (1993), 56-72.
    • (1993) Amer. Scient. , vol.81 , pp. 56-72
    • Chung, F.1    Steinberg, S.2
  • 6
    • 0039155347 scopus 로고
    • Number of Kekule' structures as a function of the number of hexagons in benzenoid hydrocarbons
    • S.J. Cyvin and I. Gutman, Number of Kekule' structures as a function of the number of hexagons in benzenoid hydrocarbons, Z. Naturforsch, 41a (1986), 1079-1086.
    • (1986) Z. Naturforsch , vol.41 A , pp. 1079-1086
    • Cyvin, S.J.1    Gutman, I.2
  • 7
    • 0020090597 scopus 로고
    • A periodic table for polycyclic aromatic hydrocarbons. Isomer enumeration of fused polycyclic aromatic hydrocarbons, 1
    • J.R. Dias, A periodic table for polycyclic aromatic hydrocarbons. Isomer enumeration of fused polycyclic aromatic hydrocarbons, 1. J. Chem. Inf. Comput. Sci. 22 (1982), 15-22.
    • (1982) J. Chem. Inf. Comput. Sci. , vol.22 , pp. 15-22
    • Dias, J.R.1
  • 8
    • 0021478914 scopus 로고
    • A periodic table for polycyclic aromatic hydrocarbons. 4. Isomer enumeration of polycyclic conjugated hydrocarbons. 2
    • J.R. Dias, A periodic table for polycyclic aromatic hydrocarbons. 4. Isomer enumeration of polycyclic conjugated hydrocarbons. 2, J. Chem. Inf. Comput. Sci. 24 (1984), 124-135.
    • (1984) J. Chem. Inf. Comput. Sci. , vol.24 , pp. 124-135
    • Dias, J.R.1
  • 9
    • 0141510568 scopus 로고
    • Strictly peri-condensed polycyclic aromatic hydrocarbons
    • J.R. Dias, Strictly peri-condensed polycyclic aromatic hydrocarbons, Can. J. Chem. 62 (1984), 2914-2922; A periodic table for polycyclic aromatic hydrocarbons, Acc. Chem. Res. 18 (1985), 241-248.
    • (1984) Can. J. Chem. , vol.62 , pp. 2914-2922
    • Dias, J.R.1
  • 10
    • 0001213634 scopus 로고
    • A periodic table for polycyclic aromatic hydrocarbons
    • J.R. Dias, Strictly peri-condensed polycyclic aromatic hydrocarbons, Can. J. Chem. 62 (1984), 2914-2922; A periodic table for polycyclic aromatic hydrocarbons, Acc. Chem. Res. 18 (1985), 241-248.
    • (1985) Acc. Chem. Res. , vol.18 , pp. 241-248
  • 13
    • 84961475074 scopus 로고
    • A formula periodic table for benzenoid hydrocarbons and the aufbau and excised internal structure concepts in benzenoid enumerations
    • J.R. Dias, A formula periodic table for benzenoid hydrocarbons and the aufbau and excised internal structure concepts in benzenoid enumerations, Z. Naturforsch. 44a (1989), 765-771; J. Math. Chem. 4 (1990), 17-29.
    • (1989) Z. Naturforsch. , vol.44 A , pp. 765-771
    • Dias, J.R.1
  • 14
    • 84961475074 scopus 로고
    • J.R. Dias, A formula periodic table for benzenoid hydrocarbons and the aufbau and excised internal structure concepts in benzenoid enumerations, Z. Naturforsch. 44a (1989), 765-771; J. Math. Chem. 4 (1990), 17-29.
    • (1990) J. Math. Chem. , vol.4 , pp. 17-29
  • 15
    • 0141845124 scopus 로고
    • A periodic table for benzenoid hydrocarbons
    • J.R. Dias, A periodic table for benzenoid hydrocarbons, Top. Curr. Chem. 153 (1990), 123-143.
    • (1990) Top. Curr. Chem. , vol.153 , pp. 123-143
    • Dias, J.R.1
  • 16
    • 0002170606 scopus 로고
    • Benzenoid series having a constant number of isomers
    • J.R. Dias, Benzenoid series having a constant number of isomers, J. Chem. Inf. Comput. Sci. 30 (1990), 61-64.
    • (1990) J. Chem. Inf. Comput. Sci. , vol.30 , pp. 61-64
    • Dias, J.R.1
  • 17
    • 0008853893 scopus 로고
    • Benzenoid series having a constant number of isomers. 2. Topological characteristics of strictly peri-condensed constant-isomer benzenoid series
    • J.R. Dias, Benzenoid series having a constant number of isomers. 2. Topological characteristics of strictly peri-condensed constant-isomer benzenoid series, J. Chem. Inf. Comput. Sci. 30 (1990), 251-256; S.J. Cyvin, Further developments for constant-isomer series, J. Chem. Inf. Comput. Sci. 31 (1991), 340-344.
    • (1990) J. Chem. Inf. Comput. Sci. , vol.30 , pp. 251-256
    • Dias, J.R.1
  • 18
    • 0040400086 scopus 로고
    • Further developments for constant-isomer series
    • J.R. Dias, Benzenoid series having a constant number of isomers. 2. Topological characteristics of strictly peri-condensed constant-isomer benzenoid series, J. Chem. Inf. Comput. Sci. 30 (1990), 251-256; S.J. Cyvin, Further developments for constant-isomer series, J. Chem. Inf. Comput. Sci. 31 (1991), 340-344.
    • (1991) J. Chem. Inf. Comput. Sci. , vol.31 , pp. 340-344
    • Cyvin, S.J.1
  • 19
    • 0001455218 scopus 로고
    • Current status of isomer enumeration of practical benzenoids
    • J.R. Dias, Current status of isomer enumeration of practical benzenoids, J. Mol. Struct. (Theochem) 230 (1991), 155-190; 279 (1993), 325.
    • (1991) J. Mol. Struct. (Theochem) , vol.230 , pp. 155-190
    • Dias, J.R.1
  • 20
    • 85084725133 scopus 로고
    • J.R. Dias, Current status of isomer enumeration of practical benzenoids, J. Mol. Struct. (Theochem) 230 (1991), 155-190; 279 (1993), 325.
    • (1993) J. Mol. Struct. (Theochem) , vol.279 , pp. 325
  • 21
    • 0000485024 scopus 로고
    • Constant-isomer benzenoid series and their topological characteristics
    • J.R. Dias, Constant-isomer benzenoid series and their topological characteristics, Theor. Chim. Acta 77 (1990), 143-162; Constant-isomer benzenoid series and their polyradical subsets, Theor. Chim. Acta 81 (1991), 125-138.
    • (1990) Theor. Chim. Acta , vol.77 , pp. 143-162
    • Dias, J.R.1
  • 22
    • 0000706639 scopus 로고
    • Constant-isomer benzenoid series and their polyradical subsets
    • J.R. Dias, Constant-isomer benzenoid series and their topological characteristics, Theor. Chim. Acta 77 (1990), 143-162; Constant-isomer benzenoid series and their polyradical subsets, Theor. Chim. Acta 81 (1991), 125-138.
    • (1991) Theor. Chim. Acta , vol.81 , pp. 125-138
  • 23
    • 0001963212 scopus 로고
    • Deciphering the information content of chemical formulas: A comprehensive study of fluorenes and fluoranthenes
    • J.R. Dias, Deciphering the information content of chemical formulas: a Comprehensive study of fluorenes and fluoranthenes, J. Chem. Inf. Computer Sci. 32 (1992), 2-11.
    • (1992) J. Chem. Inf. Computer Sci. , vol.32 , pp. 2-11
    • Dias, J.R.1
  • 24
    • 0001621559 scopus 로고
    • Deciphering the information content of chemical formulas: Chemical and structural characteristics and enumeration of indacenes
    • J.R. Dias, Deciphering the information content of chemical formulas: chemical and structural characteristics and enumeration of indacenes, J. Chem. Inf. Comput. Sci. 32 (1992), 203-209.
    • (1992) J. Chem. Inf. Comput. Sci. , vol.32 , pp. 203-209
    • Dias, J.R.1
  • 25
    • 0040399760 scopus 로고
    • Benzenoid series having a constant number of isomers. Total resonant sextet benzenoids and their topological characteristics
    • J.R. Dias, Benzenoid series having a constant number of isomers. Total resonant sextet benzenoids and their topological characteristics, J. Chem. Inf. Comput. Sci. 31 (1991), 89-96; B.N. Cyvin, J. Brunvoll, S.J. Cyvin, Notes on fully benzenoid hydrocarbons and their constant-isomer series, J. Chem. Inf. Comput. Sci. 32 (1992), 72-78.
    • (1991) J. Chem. Inf. Comput. Sci. , vol.31 , pp. 89-96
    • Dias, J.R.1
  • 26
    • 0002933495 scopus 로고
    • Notes on fully benzenoid hydrocarbons and their constant-isomer series
    • J.R. Dias, Benzenoid series having a constant number of isomers. Total resonant sextet benzenoids and their topological characteristics, J. Chem. Inf. Comput. Sci. 31 (1991), 89-96; B.N. Cyvin, J. Brunvoll, S.J. Cyvin, Notes on fully benzenoid hydrocarbons and their constant-isomer series, J. Chem. Inf. Comput. Sci. 32 (1992), 72-78.
    • (1992) J. Chem. Inf. Comput. Sci. , vol.32 , pp. 72-78
    • Cyvin, B.N.1    Brunvoll, J.2    Cyvin, S.J.3
  • 27
    • 0000445292 scopus 로고
    • Fullerenes to benzenoids and the leapfrog algorithm
    • J.R. Dias, Fullerenes to benzenoids and the leapfrog algorithm, Chem. Phys. Lett. 204 (1993), 486-490; P.W. Fowler and D.B. Redmond, Symmetry aspects of bonding in carbon clusters: the leapfrog transformation, Theor. Chim. Acta 83 (1992), 367-375.
    • (1993) Chem. Phys. Lett. , vol.204 , pp. 486-490
    • Dias, J.R.1
  • 28
    • 0001749123 scopus 로고
    • Symmetry aspects of bonding in carbon clusters: The leapfrog transformation
    • J.R. Dias, Fullerenes to benzenoids and the leapfrog algorithm, Chem. Phys. Lett. 204 (1993), 486-490; P.W. Fowler and D.B. Redmond, Symmetry aspects of bonding in carbon clusters: the leapfrog transformation, Theor. Chim. Acta 83 (1992), 367-375.
    • (1992) Theor. Chim. Acta , vol.83 , pp. 367-375
    • Fowler, P.W.1    Redmond, D.B.2
  • 30
    • 0027444849 scopus 로고
    • Deciphering the information content of polycyclic conjugated hydrocarbon formulas - From benzenoids to fullerenes
    • J.R. Dias, Deciphering the information content of polycyclic conjugated hydrocarbon formulas - from benzenoids to fullerenes, Tetrahedron 49 (1993), 9207-9220.
    • (1993) Tetrahedron , vol.49 , pp. 9207-9220
    • Dias, J.R.1
  • 31
    • 84943488324 scopus 로고
    • Generation of fullerenes by circumscribing
    • J.R. Dias, Generation of fullerenes by circumscribing, Z. Naturforsch. 48a (1993), 1009-1016.
    • (1993) Z. Naturforsch. , vol.48 A , pp. 1009-1016
    • Dias, J.R.1
  • 32
    • 0011568279 scopus 로고
    • Benzenoids to fullerenes and the circumscribing algorithm
    • J.R. Dias, Benzenoids to fullerenes and the circumscribing algorithm, Chem. Phys. Lett. 209 (1993), 439-444.
    • (1993) Chem. Phys. Lett. , vol.209 , pp. 439-444
    • Dias, J.R.1
  • 33
    • 0001630164 scopus 로고
    • Notes on constant-isomer series
    • J.R. Dias, Notes on constant-isomer series, J. Chem. Inf. Comput. Sci. 33 (1993), 117-127.
    • (1993) J. Chem. Inf. Comput. Sci. , vol.33 , pp. 117-127
    • Dias, J.R.1
  • 34
    • 0002059434 scopus 로고
    • Periodic table for benzenoid hydrocarbons and the unifying concept of a periodic table set
    • J.R. Dias, Periodic table for benzenoid hydrocarbons and the unifying concept of a periodic table set, Polycycl. Arom. Comp. 4 (1994) 87-106.
    • (1994) Polycycl. Arom. Comp. , vol.4 , pp. 87-106
    • Dias, J.R.1
  • 35
    • 0009550142 scopus 로고
    • The recognition of polyhex hydrocarbon radicals
    • G.G. Hall and J.R. Dias, The recognition of polyhex hydrocarbon radicals, J. Math. Chem. 3 (1989), 233-242.
    • (1989) J. Math. Chem. , vol.3 , pp. 233-242
    • Hall, G.G.1    Dias, J.R.2
  • 36
    • 0039145933 scopus 로고
    • Eigenvalue distributions in alternant hydrocarbons
    • G.G. Hall, Eigenvalue distributions in alternant hydrocarbons, J. Math. Chem. 13 (1993), 191-203.
    • (1993) J. Math. Chem. , vol.13 , pp. 191-203
    • Hall, G.G.1
  • 37
    • 21144475577 scopus 로고
    • The branching graphs of polyhexes: Some elementary theorems, conjecture and open questions
    • E.C. Kirby and I. Gutman, The branching graphs of polyhexes: some elementary theorems, conjecture and open questions, J. Math. Chem. 13 (1993), 359-374.
    • (1993) J. Math. Chem. , vol.13 , pp. 359-374
    • Kirby, E.C.1    Gutman, I.2
  • 38
    • 0000267643 scopus 로고
    • C60 carbon cages
    • T.G. Schmalz, W.A. Seitz, D.J. Klein and G.E. Hite, C60 carbon cages, Chem. Phys. Lett. 130 (1986), 203-207; Elemental carbon cages. J. Am. Chem. Soc. 110 (1988), 1113-1127; X. Liu, T.G. Schmalz and D.J. Klein, Favorable structures for higher fullerenes, Chem. Phys. Lett. 188 (1992), 550-554.
    • (1986) Chem. Phys. Lett. , vol.130 , pp. 203-207
    • Schmalz, T.G.1    Seitz, W.A.2    Klein, D.J.3    Hite, G.E.4
  • 39
    • 33845279213 scopus 로고
    • Elemental carbon cages
    • T.G. Schmalz, W.A. Seitz, D.J. Klein and G.E. Hite, C60 carbon cages, Chem. Phys. Lett. 130 (1986), 203-207; Elemental carbon cages. J. Am. Chem. Soc. 110 (1988), 1113-1127; X. Liu, T.G. Schmalz and D.J. Klein, Favorable structures for higher fullerenes, Chem. Phys. Lett. 188 (1992), 550-554.
    • (1988) J. Am. Chem. Soc. , vol.110 , pp. 1113-1127
  • 40
    • 0000833196 scopus 로고
    • Favorable structures for higher fullerenes
    • T.G. Schmalz, W.A. Seitz, D.J. Klein and G.E. Hite, C60 carbon cages, Chem. Phys. Lett. 130 (1986), 203-207; Elemental carbon cages. J. Am. Chem. Soc. 110 (1988), 1113-1127; X. Liu, T.G. Schmalz and D.J. Klein, Favorable structures for higher fullerenes, Chem. Phys. Lett. 188 (1992), 550-554.
    • (1992) Chem. Phys. Lett. , vol.188 , pp. 550-554
    • Liu, X.1    Schmalz, T.G.2    Klein, D.J.3
  • 41
    • 0642378938 scopus 로고
    • Quasicrystals
    • P.J. Steinhardt, Quasicrystals, Amer. Scient. 74 (1986), 586-597; N. Trinajstic. The Magic of the Number Five. Croat. Chem. Acta 66 (1993), 227-254.
    • (1986) Amer. Scient. , vol.74 , pp. 586-597
    • Steinhardt, P.J.1
  • 42
    • 0043186848 scopus 로고
    • The magic of the number five
    • P.J. Steinhardt, Quasicrystals, Amer. Scient. 74 (1986), 586-597; N. Trinajstic. The Magic of the Number Five. Croat. Chem. Acta 66 (1993), 227-254.
    • (1993) Croat. Chem. Acta , vol.66 , pp. 227-254
    • Trinajstic, N.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.