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Volumn 13, Issue 1, 2000, Pages 25-32

Nonhamiltonian 3-connected cubic planar graphs

Author keywords

Cubic; Nonhamiltonian; Planar

Indexed keywords


EID: 0010303859     PISSN: 08954801     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0895480198348665     Document Type: Article
Times cited : (41)

References (14)
  • 1
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    • Barnette, D.1
  • 3
    • 0011698750 scopus 로고    scopus 로고
    • PentHex puzzles: A reliable and efficient top-down approach to fullerene-structure enumeration
    • G. BRINKMANN AND A. DRESS, PentHex puzzles: A reliable and efficient top-down approach to fullerene-structure enumeration, Adv. Appl. Math., 21 (1998), pp. 473-480.
    • (1998) Adv. Appl. Math. , vol.21 , pp. 473-480
    • Brinkmann, G.1    Dress, A.2
  • 4
    • 0000798653 scopus 로고    scopus 로고
    • A constructive enumeration of fullerenes
    • G. BRINKMANN AND A. DRESS, A constructive enumeration of fullerenes, J. Algorithms, 23 (1997), pp. 345-358.
    • (1997) J. Algorithms , vol.23 , pp. 345-358
    • Brinkmann, G.1    Dress, A.2
  • 6
    • 1842800572 scopus 로고
    • A generation procedure for the simple 3-polytopes with cyclically 5-connected graphs
    • J. W. BUTLER, A generation procedure for the simple 3-polytopes with cyclically 5-connected graphs, Canad. J. Math., 26 (1974), pp. 686-708.
    • (1974) Canad. J. Math. , vol.26 , pp. 686-708
    • Butler, J.W.1
  • 7
    • 0042373717 scopus 로고
    • Non-hamiltonian simple planar maps
    • G. B. FAULKNER AND D. H. YOUNGER, Non-hamiltonian simple planar maps, Discrete Math., 7 (1974), pp. 67-74.
    • (1974) Discrete Math. , vol.7 , pp. 67-74
    • Faulkner, G.B.1    Younger, D.H.2
  • 9
    • 1842649382 scopus 로고
    • Cycles in 3-connected cubic planar graphs. II
    • D. A. HOLTON AND B. D. MCKAY, Cycles in 3-connected cubic planar graphs. II, Ars Combin., 21(A) (1986), pp. 107-114.
    • (1986) Ars Combin. , vol.21 , Issue.A , pp. 107-114
    • Holton, D.A.1    Mckay, B.D.2
  • 10
    • 38249028405 scopus 로고
    • The smallest non-hamiltonian 3-connected cubic planar graphs have 38 vertices
    • Erratum, 47 (1989), p. 248
    • D. A HOLTON AND B. D. MCKAY, The smallest non-hamiltonian 3-connected cubic planar graphs have 38 vertices, J Combin. Theory Ser. B. 45 (1988), pp. 305-319; Erratum, 47 (1989), p. 248.
    • (1988) J Combin. Theory Ser. B. , vol.45 , pp. 305-319
    • Holton, D.A.1    Mckay, B.D.2
  • 11
    • 0004010079 scopus 로고
    • Tech. report Tr-CS-90-02, Computer Science Dept., Australian National University, Canberra, Australia
    • B. D. MCKAY, Nauty User's Guide (Version 1.5), Tech. report Tr-CS-90-02, Computer Science Dept., Australian National University, Canberra, Australia, 1990.
    • (1990) Nauty User's Guide (Version 1.5)
    • Mckay, B.D.1
  • 13
    • 1842649394 scopus 로고
    • Search for minimal non-hamiltonian simple 3-polytopes
    • Novi Sad, University of Novi Sad, Institute of Mathematics, Novi Sad
    • B. MOHAR, Search for minimal non-hamiltonian simple 3-polytopes, in Proceedings Fourth Yugoslav Seminar on Graph Theory, Novi Sad, University of Novi Sad, Institute of Mathematics, Novi Sad, 1983, pp. 191-208.
    • (1983) Proceedings Fourth Yugoslav Seminar on Graph Theory , pp. 191-208
    • Mohar, B.1
  • 14
    • 85012697225 scopus 로고
    • Every simple 3-polytope of order 32 or less is hamiltonian
    • H. OKAMURA, Every simple 3-polytope of order 32 or less is hamiltonian, J. Graph Theory, 6 (1982), pp. 185-196.
    • (1982) J. Graph Theory , vol.6 , pp. 185-196
    • Okamura, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.