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Volumn 44, Issue 5, 2004, Pages 1552-1564

Oriented 2-cell embeddings of a graph and their symmetry classification: Generating algorithms and case study of the möbius-kantor graph

Author keywords

[No Author keywords available]

Indexed keywords

EMBEDDED SYSTEMS; GRAPH THEORY; HARDNESS; REDUNDANCY; ROTATION; STRUCTURE (COMPOSITION); TWO DIMENSIONAL;

EID: 5444233750     PISSN: 00952338     EISSN: None     Source Type: Journal    
DOI: 10.1021/ci049865c     Document Type: Article
Times cited : (9)

References (19)
  • 1
    • 0041599281 scopus 로고    scopus 로고
    • Negative curvature surfaces in chemical structures
    • King, R. B. Negative curvature surfaces in chemical structures. J. Chem. Inf. Comput. Sci. 1998, 35(2), 180-188.
    • (1998) J. Chem. Inf. Comput. Sci. , vol.35 , Issue.2 , pp. 180-188
    • King, R.B.1
  • 2
    • 31244432364 scopus 로고    scopus 로고
    • Novel highly symmetrical trivalent graphs which lead to negative curvature carbon and boron nitride chemical structures
    • King, R. B. Novel highly symmetrical trivalent graphs which lead to negative curvature carbon and boron nitride chemical structures. Discrete Math. 2002, 244, 203-210.
    • (2002) Discrete Math. , vol.244 , pp. 203-210
    • King, R.B.1
  • 4
    • 0033074484 scopus 로고    scopus 로고
    • The heptakisoctahedral group and its relevance to carbon allotropes with negative curvature
    • Ceulemans, A.; King, R. B.; Bovin, S. A.; Rogers, K. M.; Troisi, A.; Fowler, P. W. The heptakisoctahedral group and its relevance to carbon allotropes with negative curvature. J. Math. Chem. 1999, 26, 101-123.
    • (1999) J. Math. Chem. , vol.26 , pp. 101-123
    • Ceulemans, A.1    King, R.B.2    Bovin, S.A.3    Rogers, K.M.4    Troisi, A.5    Fowler, P.W.6
  • 5
    • 4744359111 scopus 로고    scopus 로고
    • The tetrakisoctahedral group of the Dyck graph and its molecular realization
    • in press
    • Ceulemans, A.; Lijnen E.; Ceulemans L. J.; Fowler P. W. The tetrakisoctahedral group of the Dyck graph and its molecular realization. Mol. Phys., in press.
    • Mol. Phys.
    • Ceulemans, A.1    Lijnen, E.2    Ceulemans, L.J.3    Fowler, P.W.4
  • 6
    • 5444256899 scopus 로고    scopus 로고
    • The remarkable generalized Petersen graph G(8, 3)
    • Marusic, D.; Pisanski, T. The remarkable generalized Petersen graph G(8, 3). Math. Slovaca 2000, 50(2), 117-121.
    • (2000) Math. Slovaca , vol.50 , Issue.2 , pp. 117-121
    • Marusic, D.1    Pisanski, T.2
  • 7
    • 0442327667 scopus 로고    scopus 로고
    • Symmetries of hexagonal molecular graphs on the torus
    • Marusic, D.; Pisanski, T. Symmetries of hexagonal molecular graphs on the torus. Croat. Chem. Acta 2000, 73, 969-981.
    • (2000) Croat. Chem. Acta , vol.73 , pp. 969-981
    • Marusic, D.1    Pisanski, T.2
  • 8
    • 0003566809 scopus 로고
    • Systems of circuits of two-dimensional manifolds
    • Brahana, H. R. Systems of circuits of two-dimensional manifolds. Ann. Math. 1921, 23, 144-168.
    • (1921) Ann. Math. , vol.23 , pp. 144-168
    • Brahana, H.R.1
  • 9
    • 0036307791 scopus 로고    scopus 로고
    • The polyhedral state of molecular matter
    • Ceulemans, A.; Lijnen E. The polyhedral state of molecular matter. Eur. J. Inorg. Chem. 2002, 7, 1571-1581.
    • (2002) Eur. J. Inorg. Chem. , vol.7 , pp. 1571-1581
    • Ceulemans, A.1    Lijnen, E.2
  • 11
    • 34447588722 scopus 로고
    • Über das Problem der Nachbargebiete
    • Heffter, L. Über das Problem der Nachbargebiete. Math. Ann. 1891, 38, 477-508.
    • (1891) Math. Ann. , vol.38 , pp. 477-508
    • Heffter, L.1
  • 12
    • 0040957721 scopus 로고
    • Combinatorial representation for polyhedral surfaces
    • Edmonds, J. A combinatorial representation for polyhedral surfaces. Am. Math. Soc. Not. 1960, 7, 646.
    • (1960) Am. Math. Soc. Not. , vol.7 , pp. 646
    • Edmonds, J.A.1
  • 15
    • 0042403201 scopus 로고    scopus 로고
    • Determination of all regular maps of small genus
    • Conder, M.; Dobcsanyi, P. Determination of all regular maps of small genus, J. Comb. Theory B 2001, 81(2), 224-242.
    • (2001) J. Comb. Theory B , vol.81 , Issue.2 , pp. 224-242
    • Conder, M.1    Dobcsanyi, P.2
  • 17
    • 0043196957 scopus 로고    scopus 로고
    • Platonic tesselations of Riemann surfaces as models in chemistry: Nonzero genus analogues of regular polyhedra
    • King, R. B. Platonic tesselations of Riemann surfaces as models in chemistry: nonzero genus analogues of regular polyhedra. J. Mol. Struct. 2003, 656, 119-133.
    • (2003) J. Mol. Struct. , vol.656 , pp. 119-133
    • King, R.B.1
  • 19
    • 0001184871 scopus 로고    scopus 로고
    • The electronic structure of polyhex carbon tori
    • Ceulemans, A.; Chibotaru, L. F.; Bovin, S. A. The electronic structure of polyhex carbon tori. J. Chem. Phys. 2000, 112(9), 4271-4278.
    • (2000) J. Chem. Phys. , vol.112 , Issue.9 , pp. 4271-4278
    • Ceulemans, A.1    Chibotaru, L.F.2    Bovin, S.A.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.