메뉴 건너뛰기




Volumn 276, Issue 1-3, 2004, Pages 81-94

Variable neighborhood search for extremal graphs. 5. Three ways to automate finding conjectures

Author keywords

Automated system; Conjecture; Graph

Indexed keywords

ALGEBRA; AUTOMATION; COMPUTATIONAL METHODS; COMPUTER AIDED ANALYSIS; DATABASE SYSTEMS; HEURISTIC METHODS; THEOREM PROVING; TREES (MATHEMATICS); WEBSITES;

EID: 0346785310     PISSN: 0012365X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0012-365X(03)00311-X     Document Type: Conference Paper
Times cited : (93)

References (39)
  • 2
    • 84972498411 scopus 로고
    • Every planar map is four colorable. Part i. Discharging
    • Appel K., Haken W. Every planar map is four colorable. Part i. Discharging. Illinois J. Math. 21:1977;429-490.
    • (1977) Illinois J. Math. , vol.21 , pp. 429-490
    • Appel, K.1    Haken, W.2
  • 3
    • 84972500815 scopus 로고
    • Every planar map is four colorable. Part ii. Reducibility
    • Appel K., Haken W. Every planar map is four colorable. Part ii. Reducibility. Illinois J. Math. 21:1977;491-567.
    • (1977) Illinois J. Math. , vol.21 , pp. 491-567
    • Appel, K.1    Haken, W.2
  • 4
    • 0003199706 scopus 로고
    • Every planar map is four colorable
    • Appel K., Haken W. Every planar map is four colorable. A.M.S. Contemp. Math. 98:1989;1-743.
    • (1989) A.M.S. Contemp. Math. , vol.98 , pp. 1-743
    • Appel, K.1    Haken, W.2
  • 5
    • 0348023405 scopus 로고    scopus 로고
    • The method of mechanical theorem proving, cited by J. Gray in "Sale of the Century?"
    • Archimedes, The method of mechanical theorem proving, cited by J. Gray in "Sale of the Century?", Math. Intell. 21 (1999) 12-15.
    • (1999) Math. Intell. , vol.21 , pp. 12-15
    • Archimedes1
  • 6
    • 0013105044 scopus 로고
    • Ingrid: A software tool for extremal graph theory research
    • Brigham R.C., Dutton R.D. Ingrid. a software tool for extremal graph theory research Congr. Numer. 39:1983;337-352.
    • (1983) Congr. Numer. , vol.39 , pp. 337-352
    • Brigham, R.C.1    Dutton, R.D.2
  • 7
    • 0022031852 scopus 로고
    • A compilation of relations between graphs invariants
    • Brigham R.C., Dutton R.D. A compilation of relations between graphs invariants. Networks. 15:1985;73-107.
    • (1985) Networks , vol.15 , pp. 73-107
    • Brigham, R.C.1    Dutton, R.D.2
  • 8
    • 84987031619 scopus 로고
    • A compilation of relations between graphs invariants
    • Brigham R.C., Dutton R.D. A compilation of relations between graphs invariants. Networks. 21(suppl. 1):1991;421-455.
    • (1991) Networks , vol.21 , Issue.SUPPL. 1 , pp. 421-455
    • Brigham, R.C.1    Dutton, R.D.2
  • 10
    • 0010005878 scopus 로고    scopus 로고
    • Fast generation of cubic graphs
    • Brinkmann G. Fast generation of cubic graphs. J. Graph Theory. 23:1996;139-149.
    • (1996) J. Graph Theory , vol.23 , pp. 139-149
    • Brinkmann, G.1
  • 11
    • 0000070558 scopus 로고    scopus 로고
    • Variable neighborhood search for extremal graphs. 2. Finding graphs with extremal energy
    • Caporossi G., Cvetković D., Gutman I., Hansen P. Variable neighborhood search for extremal graphs. 2. Finding graphs with extremal energy. J. Chem. Inform. Comp. Sci. 39:1999;984-996.
    • (1999) J. Chem. Inform. Comp. Sci. , vol.39 , pp. 984-996
    • Caporossi, G.1    Cvetković, D.2    Gutman, I.3    Hansen, P.4
  • 13
    • 0001652596 scopus 로고    scopus 로고
    • Variable neighborhood search for extremal graphs. 4. Chemical trees with extremal connectivity index
    • Caporossi G., Gutman I., Hansen P. Variable neighborhood search for extremal graphs. 4. Chemical trees with extremal connectivity index. Comp. Chem. 23:1999;469-477.
    • (1999) Comp. Chem. , vol.23 , pp. 469-477
    • Caporossi, G.1    Gutman, I.2    Hansen, P.3
  • 15
    • 0002066721 scopus 로고    scopus 로고
    • Variable neighborhood search for extremal graphs. 1. The AutoGraphiX system
    • Caporossi G., Hansen P. Variable neighborhood search for extremal graphs. 1. The AutoGraphiX system. Discrete Math. 212:2000;29-44.
    • (2000) Discrete Math. , vol.212 , pp. 29-44
    • Caporossi, G.1    Hansen, P.2
  • 16
    • 0041469546 scopus 로고
    • Discussing graph theory with a computer, ii: Theorems suggested by the computer
    • Cvetković D. Discussing graph theory with a computer, ii: Theorems suggested by the computer. Publ. Inst. Math. Beograd. 47:1983a;29-33.
    • (1983) Publ. Inst. Math. Beograd , vol.47 , pp. 29-33
    • Cvetković, D.1
  • 17
    • 0041642392 scopus 로고
    • Discussing graph theory with a computer, iii: Man-machine theorem proving
    • Cvetković D. Discussing graph theory with a computer, iii: Man-machine theorem proving. Publ. Inst. Math. Beograd. 48:1983b;37-47.
    • (1983) Publ. Inst. Math. Beograd , vol.48 , pp. 37-47
    • Cvetković, D.1
  • 18
    • 0041642393 scopus 로고
    • Discussing graph theory with a computer, iv: Knowledge organization and examples of theorem proving
    • Novi Sad
    • D. Cvetković, Discussing graph theory with a computer, iv: Knowledge organization and examples of theorem proving, Proceedings of the Fourth Yugoslav Seminar on Graph Theory, Novi Sad, 1983, pp. 43-68.
    • (1983) Proceedings of the Fourth Yugoslav Seminar on Graph Theory , pp. 43-68
    • Cvetković, D.1
  • 19
    • 0013103965 scopus 로고
    • Discussing graph theory with a computer, i: Implementation of graph theoretic algorithms
    • D. Cvetković, L.L. Kraus, S.K. Simić, Discussing graph theory with a computer, i: Implementation of graph theoretic algorithms, Univ. Beograd Publ. Elektrotehn. Fak. 1981, pp. 100-104.
    • (1981) Univ. Beograd Publ. Elektrotehn. Fak. , pp. 100-104
    • Cvetković, D.1    Kraus, L.L.2    Simić, S.K.3
  • 20
    • 0024016499 scopus 로고
    • Man-machine theorem proving in graph theory
    • Cvetković D., Pevac I. Man-machine theorem proving in graph theory. Artif. Intell. 35:1988;1-23.
    • (1988) Artif. Intell. , vol.35 , pp. 1-23
    • Cvetković, D.1    Pevac, I.2
  • 22
    • 0013151445 scopus 로고    scopus 로고
    • Variable neighborhood search for extremal graphs. 3. On the largest eigenvalue of color-constrained trees
    • Cvetković D., Simić S., Caporossi G., Hansen P. Variable neighborhood search for extremal graphs. 3. On the largest eigenvalue of color-constrained trees. Linear Multilinear Algebra. 49:2001;143-160.
    • (2001) Linear Multilinear Algebra , vol.49 , pp. 143-160
    • Cvetković, D.1    Simić, S.2    Caporossi, G.3    Hansen, P.4
  • 24
    • 0013059546 scopus 로고
    • On conjectures of Graffiti - Ii
    • Fajtlowicz S. On conjectures of Graffiti - ii. Congr. Numer. 60:1987;187-197.
    • (1987) Congr. Numer. , vol.60 , pp. 187-197
    • Fajtlowicz, S.1
  • 25
    • 0000251427 scopus 로고
    • On conjectures of Graffiti
    • Fajtlowicz S. On conjectures of Graffiti. Discrete Math. 72:1988a;113-118.
    • (1988) Discrete Math. , vol.72 , pp. 113-118
    • Fajtlowicz, S.1
  • 26
    • 0013060546 scopus 로고
    • On conjectures of Graffiti - Iii
    • Fajtlowicz S. On conjectures of Graffiti - iii. Congr. Numer. 66:1988b;23-32.
    • (1988) Congr. Numer. , vol.66 , pp. 23-32
    • Fajtlowicz, S.1
  • 27
    • 0013159694 scopus 로고
    • On conjectures of Graffiti - Iv
    • Fajtlowicz S. On conjectures of Graffiti - iv. Congr. Numer. 70:1990;231-240.
    • (1990) Congr. Numer. , vol.70 , pp. 231-240
    • Fajtlowicz, S.1
  • 29
    • 1642367068 scopus 로고    scopus 로고
    • regularly updated file accessible via e-mail from clarson@math.uh.edu
    • S. Fajtlowicz, Written on the wall. version 09-2000 (regularly updated file accessible via e-mail from clarson@math.uh.edu), 2000.
    • (2000) Written on the Wall. Version 09-2000
    • Fajtlowicz, S.1
  • 31
    • 0042685731 scopus 로고    scopus 로고
    • Molecules with smallest connectivity index
    • Gutman I., Miljković O. Molecules with smallest connectivity index. Match. 41:2000;57-70.
    • (2000) Match , vol.41 , pp. 57-70
    • Gutman, I.1    Miljković, O.2
  • 35
    • 0004010079 scopus 로고
    • Nauty user's guide (version 1.5)
    • Department of Computer Science, Australian National University
    • B.D. McKay, Nauty user's guide (version 1.5), Technical Report. TR-CS-90-02, Department of Computer Science, Australian National University, 1990.
    • (1990) Technical Report , vol.TR-CS-90-02
    • McKay, B.D.1
  • 36
    • 0001540056 scopus 로고    scopus 로고
    • Isomorph-free exhaustive generation
    • McKay B.D. Isomorph-free exhaustive generation. J. Algorithms. 26:1998;306-324.
    • (1998) J. Algorithms , vol.26 , pp. 306-324
    • McKay, B.D.1
  • 38
    • 0346131718 scopus 로고    scopus 로고
    • Étude de conjectures en théorie des graphes
    • GERAD
    • F. Pujol, étude de conjectures en théorie des graphes, Rapport de stage, GERAD, 1998.
    • (1998) Rapport de Stage
    • Pujol, F.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.