메뉴 건너뛰기




Volumn 139, Issue C, 1998, Pages 1233-1269

Chapter 18 Recursive and on-line graph coloring

Author keywords

[No Author keywords available]

Indexed keywords


EID: 77956702360     PISSN: 0049237X     EISSN: None     Source Type: Book Series    
DOI: 10.1016/S0049-237X(98)80051-7     Document Type: Article
Times cited : (15)

References (45)
  • 1
    • 0001246406 scopus 로고
    • Effective coloration
    • Bean D.R. Effective coloration. J. Symbolic Logic 41 (1976) 469-480
    • (1976) J. Symbolic Logic , vol.41 , pp. 469-480
    • Bean, D.R.1
  • 2
    • 84959695157 scopus 로고
    • On colouring the nodes of a network
    • also in
    • also in. Brooks R.L. On colouring the nodes of a network. Proc. Cambridge Philos. Soc. 37 (1941) 194-197
    • (1941) Proc. Cambridge Philos. Soc. , vol.37 , pp. 194-197
    • Brooks, R.L.1
  • 3
    • 77956657225 scopus 로고
    • On colouring the nodes of a network
    • also in. Gessel I., and Rota G.-C. (Eds), Birkhäuser, Moscow
    • also in. Brooks R.L. On colouring the nodes of a network. In: Gessel I., and Rota G.-C. (Eds). Classic Papers in Combinatorics (1987), Birkhäuser, Moscow 118-121
    • (1987) Classic Papers in Combinatorics , pp. 118-121
    • Brooks, R.L.1
  • 4
    • 0037972152 scopus 로고
    • On some packing problems related to Dynamic Storage Allocation
    • Chrobak M., and Slusarek M. On some packing problems related to Dynamic Storage Allocation. Rairo Inform. Théor. Appl. 22 (1988) 487-499
    • (1988) Rairo Inform. Théor. Appl. , vol.22 , pp. 487-499
    • Chrobak, M.1    Slusarek, M.2
  • 5
    • 77956924111 scopus 로고
    • Perfectly ordered graphs
    • Ann. Discrete Math. 21. Topics on Perfect Graphs. Berge C., and Chvátal V. (Eds)
    • Ann. Discrete Math. 21. Chvátal V. Perfectly ordered graphs. In: Berge C., and Chvátal V. (Eds). Topics on Perfect Graphs. North-Holland Math. Studies 88 (1984) 63-65
    • (1984) North-Holland Math. Studies , vol.88 , pp. 63-65
    • Chvátal, V.1
  • 6
    • 0001856099 scopus 로고
    • On chromatic number of graphs and set-systems
    • Erdös P., and Hajnal A. On chromatic number of graphs and set-systems. Acta Math. Acad. Sci. Hungar. 17 (1966) 61-99
    • (1966) Acta Math. Acad. Sci. Hungar. , vol.17 , pp. 61-99
    • Erdös, P.1    Hajnal, A.2
  • 7
    • 0007370102 scopus 로고
    • On chromatic number of graphs and set-systems
    • Proc. Cambridge Summer School Math. Logic. corr. with. Mathais A.R.D., and Rogers H. (Eds). Aug. 1-21, 1971
    • Rothchild B. On chromatic number of graphs and set-systems. corr. with. In: Mathais A.R.D., and Rogers H. (Eds). Proc. Cambridge Summer School Math. Logic. Aug. 1-21, 1971. Lecture Notes in Math. 337 (1973) 531-538
    • (1973) Lecture Notes in Math. , vol.337 , pp. 531-538
    • Rothchild, B.1
  • 8
    • 1842805359 scopus 로고
    • On Ramsey Covering-Numbers
    • Infinite and Finite Sets, Vol. II, (to P. Erdös on his 60th. birthday, Keszthely, 1973). Hajnal A., Rado R., and Sós V.T. (Eds)
    • Gyárfás A. On Ramsey Covering-Numbers. In: Hajnal A., Rado R., and Sós V.T. (Eds). Infinite and Finite Sets, Vol. II, (to P. Erdös on his 60th. birthday, Keszthely, 1973). Coll. Math. Soc. János Bolyai 10 (1975) 801-816
    • (1975) Coll. Math. Soc. János Bolyai , vol.10 , pp. 801-816
    • Gyárfás, A.1
  • 9
    • 0009324612 scopus 로고
    • Problems from the world surrounding perfect graphs
    • (Tanulmányok-mta Számitástech. Automat. Kutató Int., Budapest, 177)
    • (Tanulmányok-mta Számitástech. Automat. Kutató Int., Budapest, 177). Gyárfás A. Problems from the world surrounding perfect graphs. Zasto. Mat. 19 (1985) 413-441
    • (1985) Zasto. Mat. , vol.19 , pp. 413-441
    • Gyárfás, A.1
  • 10
    • 84986456107 scopus 로고
    • On-line and first-fit coloring of graphs
    • Gyárfás A., and Lehel J. On-line and first-fit coloring of graphs. J. Graph Theory 12 (1988) 217-227
    • (1988) J. Graph Theory , vol.12 , pp. 217-227
    • Gyárfás, A.1    Lehel, J.2
  • 12
    • 0038957267 scopus 로고
    • First-Fit and on-line chromatic number of families of graphs
    • Proc. 12th. British Combinatorial Conf. Siemons J. (Ed). July 3-7, 1989, Univ. E. Anglia, Boston
    • Gyárfás A., and Lehel J. First-Fit and on-line chromatic number of families of graphs. In: Siemons J. (Ed). Proc. 12th. British Combinatorial Conf. July 3-7, 1989. Ars Combin. 29 (1990), Univ. E. Anglia, Boston 168-176
    • (1990) Ars Combin. , vol.29 , pp. 168-176
    • Gyárfás, A.1    Lehel, J.2
  • 13
    • 0039550156 scopus 로고
    • Induced subtrees in graphs of large chromatic number
    • Gyárfás A., Szemerédi E., and Tuza Zs. Induced subtrees in graphs of large chromatic number. Discrete Math. 30 (1980) 235-244
    • (1980) Discrete Math. , vol.30 , pp. 235-244
    • Gyárfás, A.1    Szemerédi, E.2    Tuza, Zs.3
  • 15
    • 0028255537 scopus 로고
    • Coloring inductive graphs on-line
    • Irani S. Coloring inductive graphs on-line. Algorithmica 11 (1994) 53-72
    • (1994) Algorithmica , vol.11 , pp. 53-72
    • Irani, S.1
  • 16
    • 0002779102 scopus 로고
    • Dimension theory for ordered sets
    • Ordered Sets, (Proc. nato Adv. Study Inst., Banff, Alta, Aug. 28 - Sept. 12, 1981). Rival I. (Ed), Reidel, Los Alamitos, CA
    • Kelly D., and Trotter Jr. W.T. Dimension theory for ordered sets. In: Rival I. (Ed). Ordered Sets, (Proc. nato Adv. Study Inst., Banff, Alta, Aug. 28 - Sept. 12, 1981). nato Adv. Study Inst. Ser. C: Math. Phys. Sci. 83 (1982), Reidel, Los Alamitos, CA 171-212
    • (1982) nato Adv. Study Inst. Ser. C: Math. Phys. Sci. , vol.83 , pp. 171-212
    • Kelly, D.1    Trotter Jr., W.T.2
  • 17
    • 0348227977 scopus 로고
    • An effective version of Dilworth's theorem
    • Kierstead H.A. An effective version of Dilworth's theorem. Trans. Amer. Math. Soc. 268 (1981) 63-77
    • (1981) Trans. Amer. Math. Soc. , vol.268 , pp. 63-77
    • Kierstead, H.A.1
  • 18
    • 0348094025 scopus 로고
    • Recursive colorings of highly recursive graphs
    • Kierstead H.A. Recursive colorings of highly recursive graphs. Canad. J. Math. 33 (1981) 1279-1290
    • (1981) Canad. J. Math. , vol.33 , pp. 1279-1290
    • Kierstead, H.A.1
  • 19
    • 84966240942 scopus 로고
    • An effective version of Hall's theorem
    • Kierstead H.A. An effective version of Hall's theorem. Proc. Amer. Math. Soc. 88 (1983) 124-128
    • (1983) Proc. Amer. Math. Soc. , vol.88 , pp. 124-128
    • Kierstead, H.A.1
  • 20
    • 0038309441 scopus 로고
    • The linearity of first-fit coloring of interval graphs
    • Kierstead H.A. The linearity of first-fit coloring of interval graphs. siam J. Discrete Math. 1 (1988) 526-530
    • (1988) siam J. Discrete Math. , vol.1 , pp. 526-530
    • Kierstead, H.A.1
  • 21
    • 0005484181 scopus 로고
    • A polynomial time approximation algorithm for dynamic storage allocation
    • Special issue. Conbinatorics of Ordered Sets, papers from the 3rd. Oberwolfach Conf. Aigner M., and Wille R. (Eds). April, 1988
    • Special issue. Kierstead H.A. A polynomial time approximation algorithm for dynamic storage allocation. In: Aigner M., and Wille R. (Eds). Conbinatorics of Ordered Sets, papers from the 3rd. Oberwolfach Conf. April, 1988. Discrete Math. 88 (1991) 231-237
    • (1991) Discrete Math. , vol.88 , pp. 231-237
    • Kierstead, H.A.1
  • 22
    • 77956706164 scopus 로고
    • Long stars specify η-bounded classes
    • (Jan. 20-26, 1991, Budapest, Hungary). Sets, Graphs, and Numbers, a birthday salute to V. T. Sós and A. Hajnal. Halász G., Lovász L., Miklós D., and Szönyi T. (Eds)
    • (Jan. 20-26, 1991, Budapest, Hungary). Kierstead H.A. Long stars specify η-bounded classes. In: Halász G., Lovász L., Miklós D., and Szönyi T. (Eds). Sets, Graphs, and Numbers, a birthday salute to V. T. Sós and A. Hajnal. Coll. Math. Soc. János Bolyai 60 (1992) 421-428
    • (1992) Coll. Math. Soc. János Bolyai , vol.60 , pp. 421-428
    • Kierstead, H.A.1
  • 23
    • 77956667967 scopus 로고    scopus 로고
    • coloring k-colorable graphs
    • to appear
    • H. A. Kierstead, On line coloring k-colorable graphs, Israel J. Math., (to appear).
    • Israel J. Math
    • Kierstead, H.A.1
  • 24
    • 0346967141 scopus 로고
    • A theory of recursive dimension for ordered sets
    • Kierstead H.A., McNulty G., and Trotter Jr. W.T. A theory of recursive dimension for ordered sets. Order 1 (1984) 67-82
    • (1984) Order , vol.1 , pp. 67-82
    • Kierstead, H.A.1    McNulty, G.2    Trotter Jr., W.T.3
  • 25
    • 0040141533 scopus 로고
    • Recent results on a conjecture of Gyárfás
    • Proc. 21st. S. E. Conf. Combinatorics, Graph Theory and Computing. Hoffman F., Mullin R.C., Staton R.G., and Reid K.B. (Eds). Boca Raton, FL, Feb. 12-16, 1990
    • Kierstead H.A., and Penrice S.G. Recent results on a conjecture of Gyárfás. In: Hoffman F., Mullin R.C., Staton R.G., and Reid K.B. (Eds). Proc. 21st. S. E. Conf. Combinatorics, Graph Theory and Computing. Boca Raton, FL, Feb. 12-16, 1990. Congr. Numer. 79 (1990) 182-186
    • (1990) Congr. Numer. , vol.79 , pp. 182-186
    • Kierstead, H.A.1    Penrice, S.G.2
  • 26
    • 84987477084 scopus 로고
    • Radius two trees specify η-bounded classes
    • Kierstead H.A., and Penrice S.G. Radius two trees specify η-bounded classes. J. Graph Theory 18 (1994) 119-129
    • (1994) J. Graph Theory , vol.18 , pp. 119-129
    • Kierstead, H.A.1    Penrice, S.G.2
  • 29
    • 0041873559 scopus 로고
    • Coloring interval graphs with First-Fit
    • Special issue. Combinatorics of Ordered Sets, papers from the 4th. Oberwolfach Conf. Aigner M., and Wille R. (Eds). 1991
    • Special issue. Kierstead H.A., and Qin J. Coloring interval graphs with First-Fit. In: Aigner M., and Wille R. (Eds). Combinatorics of Ordered Sets, papers from the 4th. Oberwolfach Conf. 1991. Discrete Math. 144 (1995) 47-57
    • (1995) Discrete Math. , vol.144 , pp. 47-57
    • Kierstead, H.A.1    Qin, J.2
  • 30
    • 0000752070 scopus 로고
    • An extremal problem in recursive combinatorics
    • Combinatorics, Graph Theory and Computing, Vol. 2, (Proc. 12th. S. E. Conf., Baton Rouge, LA, 1981
    • Kierstead H.A., and Trotter Jr. W.T. An extremal problem in recursive combinatorics. Combinatorics, Graph Theory and Computing, Vol. 2, (Proc. 12th. S. E. Conf., Baton Rouge, LA, 1981. Congr. Number. 33 (1981) 143-153
    • (1981) Congr. Number. , vol.33 , pp. 143-153
    • Kierstead, H.A.1    Trotter Jr., W.T.2
  • 31
    • 38249013388 scopus 로고
    • Colorful induced subgraphs
    • (Special issue: to mark the centennial of Julius Petersen's "Die Theorie der regulären graphs", Part 2)
    • (Special issue: to mark the centennial of Julius Petersen's "Die Theorie der regulären graphs", Part 2). Kierstead H.A., and Trotter W.T. Colorful induced subgraphs. Discrete Math. 101 (1992) 165-169
    • (1992) Discrete Math. , vol.101 , pp. 165-169
    • Kierstead, H.A.1    Trotter, W.T.2
  • 32
    • 0001320277 scopus 로고
    • An on-line graph coloring algorithm with sublinear performance ratio
    • Special issue. Graph Theory and Combinatorics, Proc. Cambridge Combinatorial Conf. in honour of P. Erdös. Bollobás B. (Ed). Mar. 21-25, 1988
    • Special issue. Lovász L., Saks M., and Trotter Jr. W.T. An on-line graph coloring algorithm with sublinear performance ratio. In: Bollobás B. (Ed). Graph Theory and Combinatorics, Proc. Cambridge Combinatorial Conf. in honour of P. Erdös. Mar. 21-25, 1988. Discrete Math. 75 (1989) 319-325
    • (1989) Discrete Math. , vol.75 , pp. 319-325
    • Lovász, L.1    Saks, M.2    Trotter Jr., W.T.3
  • 33
    • 0442287688 scopus 로고
    • Effective matchmaking (recursion theoretical aspects of a theorem of Philip Hall
    • Manaster A.B., and Rosenstein J.G. Effective matchmaking (recursion theoretical aspects of a theorem of Philip Hall. Proc. London Math. Soc., Ser. 3 25 (1972) 615-654
    • (1972) Proc. London Math. Soc., Ser. 3 , vol.25 , pp. 615-654
    • Manaster, A.B.1    Rosenstein, J.G.2
  • 36
    • 77956672006 scopus 로고
    • private communication
    • J. H. Schmerl, (private communication, 1978).
    • (1978)
    • Schmerl, J.H.1
  • 37
    • 0000555828 scopus 로고
    • Recursive colorings of graphs
    • Schmerl J.H. Recursive colorings of graphs. Canad. J. Math. 32 (1980) 821-830
    • (1980) Canad. J. Math. , vol.32 , pp. 821-830
    • Schmerl, J.H.1
  • 38
    • 0347367023 scopus 로고
    • The effective version of Brooks' theorem
    • Schmerl J.H. The effective version of Brooks' theorem. Canad. J. Math. 34 (1982) 1036-1046
    • (1982) Canad. J. Math. , vol.34 , pp. 1036-1046
    • Schmerl, J.H.1
  • 39
    • 77956698897 scopus 로고
    • private communication
    • L. J. Stockmeyer, (private communication, 1976).
    • (1976)
    • Stockmeyer, L.J.1
  • 40
    • 0038957263 scopus 로고
    • Subtrees of a graph and the chromatic number
    • Chartrand G. (Ed), John Wiley and Sons, Dordrecht and Boston
    • Sumner D.P. Subtrees of a graph and the chromatic number. In: Chartrand G. (Ed). The Theory and Applications of Graphs (1981), John Wiley and Sons, Dordrecht and Boston 557-576
    • (1981) The Theory and Applications of Graphs , pp. 557-576
    • Sumner, D.P.1
  • 41
    • 77956685706 scopus 로고
    • private communication
    • M. Szegedy, (private communication, 1986).
    • (1986)
    • Szegedy, M.1
  • 43
    • 38249009791 scopus 로고
    • Randomized online graph coloring
    • Vishwanathan S. Randomized online graph coloring. J. Algorithms 13 (1992) 657-669
    • (1992) J. Algorithms , vol.13 , pp. 657-669
    • Vishwanathan, S.1
  • 44
    • 0000170712 scopus 로고
    • Problem No. 4, Combinatorics
    • Proc. British Combinatorial Conf. 1973. McDonough T.P., and Marvon V.C. (Eds)
    • Woodall D.R. Problem No. 4, Combinatorics. In: McDonough T.P., and Marvon V.C. (Eds). Proc. British Combinatorial Conf. 1973. London Math. Soc. Lecture Note Ser. 13 (1974) 202
    • (1974) London Math. Soc. Lecture Note Ser. , vol.13 , pp. 202
    • Woodall, D.R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.