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Volumn 29, Issue 3, 1982, Pages 623-641

Linear-time computability of combinatorial problems on series-parallel graphs

Author keywords

Edge deletion problem; forbidden graph; generahzed matching problem; series parallel graph; vertex deleuon problem

Indexed keywords

MATHEMATICAL TECHNIQUES;

EID: 0020164101     PISSN: 00045411     EISSN: 1557735X     Source Type: Journal    
DOI: 10.1145/322326.322328     Document Type: Article
Times cited : (231)

References (23)
  • 2
    • 0006645947 scopus 로고
    • Polytope des independants d'un graphe series-parallel
    • Boulala, M, and Uhry, J Polytope des independants d'un graphe series-parallel. Discrete Math 27 (1979), 225-243.
    • (1979) Discrete Math , vol.27 , pp. 225-243
    • Boulala, M.1    Uhry, J.2
  • 4
    • 0001368104 scopus 로고
    • Topology of series parallel networks
    • Duffin, RJ Topology of series parallel networks. J Math Applic JO (1965), 303-318.
    • (1965) J Math Applic JO , pp. 303-318
    • Duffin, R.J.1
  • 5
    • 0000927535 scopus 로고
    • Paths, trees, and flowers
    • Edmonds, J. Paths, trees, and flowers. Canad J Math. 17(1965), 449-467.
    • (1965) Canad J Math. , vol.17 , pp. 449-467
    • Edmonds, J.1
  • 8
    • 0000120312 scopus 로고
    • Finding a maximum cut of a planar graph in polynomial time
    • Hadlock, F.O., Finding a maximum cut of a planar graph in polynomial time SIAM J Comput. 4 (1975), 221-225.
    • (1975) SIAM J Comput. , vol.4 , pp. 221-225
    • Hadlock, F.O.1
  • 9
    • 0003780715 scopus 로고
    • Addison-Wesley, Reading, Mass.
    • Harary, F Graph Theory Addison-Wesley, Reading, Mass., 1969.
    • (1969) Graph Theory
    • Harary, F.1
  • 10
    • 0001243769 scopus 로고
    • Dividing a graph into tnconnected components
    • Hopcroft, J E, and Tarjan, R.E., Dividing a graph into tnconnected components, SIAM J, Comput. 2, 3 (1973), 135-158.
    • (1973) SIAM J, Comput. , vol.2 , Issue.3 , pp. 135-158
    • Hopcroft, J.E.1    Tarjan, R.E.2
  • 11
    • 0010717377 scopus 로고
    • Hereditary properties of graphs
    • Hedetniemi, S T Hereditary properties of graphs J Combinatorial Theory B 14 (1973), 94-99.
    • (1973) J Combinatorial Theory , vol.B 14 , pp. 94-99
    • Hedetniemi, S.T.1
  • 12
    • 84911722226 scopus 로고
    • Dominating set in planar graphs
    • AL79-9, Institute of Electronics and Communication Engineers of Japan, Tokyo, Japan
    • Kikuno, T, Yoshida, N, and Kakuda, Y Dominating set in planar graphs, Tech, Rep AL79-9, Institute of Electronics and Communication Engineers of Japan, Tokyo, Japan, 1979, pp. 21-30.
    • (1979) Tech, Rep , pp. 21-30
    • Kikuno, T.1    Yoshida, N.2    Kakuda, Y.3
  • 13
    • 0018055061 scopus 로고
    • On the completeness of a generalized matching problem
    • San Diego, Calif
    • Kirkpatrick, D G., and Hell, P On the completeness of a generalized matching problem. Proc 10th ACM Symp on Theory of Computing, San Diego, Calif, 1978, pp. 240-245.
    • (1978) Proc 10th ACM Symp on Theory of Computing , pp. 240-245
    • Kirkpatrick, D.G.1    Hell, P.2
  • 14
    • 0043209532 scopus 로고
    • Node-deletion NP-complete problems
    • Krishnamoorthy, M S, and Deo, N. Node-deletion NP-complete problems SIAM J. Comput. 8, 4(1979), 619-625.
    • (1979) SIAM J. Comput. , vol.8 , Issue.4 , pp. 619-625
    • Krishnamoorthy, M.S.1    Deo, N.2
  • 15
    • 0018056814 scopus 로고
    • On the complexity of the maximum subgraph problem
    • San Diego, Calif
    • Lewis, J M On the complexity of the maximum subgraph problem. Proc 10th ACM Symp on Theory of Computing, San Diego, Calif, 1978, pp 265-274.
    • (1978) Proc 10th ACM Symp on Theory of Computing , pp. 265-274
    • Lewis, J.M.1
  • 16
    • 84976685658 scopus 로고
    • Sequencing with series-parallel procedure constraints
    • School of Operations Research and Industrial Engineering, Cornell Univ, Ithaca, N.Y.
    • Monma, C L, and Sidney, J B. Sequencing with series-parallel procedure constraints Tech Rep 347, School of Operations Research and Industrial Engineering, Cornell Univ, Ithaca, N.Y, 1979.
    • (1979) Tech Rep , vol.347
    • Monma, C.L.1    Sidney, J.B.2
  • 17
    • 85010248741 scopus 로고
    • Reliable circuits using reliable relays, I-II
    • and 4 (1956), 281
    • Moore, E F., and Shannon, C E Reliable circuits using reliable relays, I-II J Franklin Inst 262, 3 (1956), 191, and 4 (1956), 281.
    • (1956) J Franklin Inst , vol.262 , Issue.3 , pp. 191
    • Moore, E.F.1    Shannon, C.E.2
  • 18
    • 49349119183 scopus 로고
    • Necessary and sufficient condition for a graph to be three-terminal series parallel cascade
    • Nishizeki, T, and Saito, N Necessary and sufficient condition for a graph to be three-terminal series parallel cascade J Combinatorial Theory B 24, 3 (1978), 344-361.
    • (1978) J Combinatorial Theory , vol.B 24 , Issue.3 , pp. 344-361
    • Nishizeki, T.1    Saito, N.2
  • 19
    • 0346776608 scopus 로고
    • Algorithms for detecting series-parallel graphs and D-charts
    • Japan
    • NishizekI, T, Takamizawa, K., and Saito, N. Algorithms for detecting series-parallel graphs and D-charts. Trans Inst Elect Commun. Eng Japan 59, 3 (1976), 259-260.
    • (1976) Trans Inst Elect Commun. Eng , vol.59 , Issue.3 , pp. 259-260
    • NishizekI, T.1    Takamizawa, K.2    Saito, N.3
  • 20
    • 84976793263 scopus 로고
    • On a specialization sequence from general matroids to ladder graphs with special emphasis on the characterization of ladder matroids
    • Research Assoc of Applied Geometry, Tokyo, Japan
    • Tomizawa, N. On a specialization sequence from general matroids to ladder graphs with special emphasis on the characterization of ladder matroids. RAAG Research Notes, Third Series, 191, Research Assoc of Applied Geometry, Tokyo, Japan, 1973.
    • (1973) RAAG Research Notes, Third Series , vol.191
    • Tomizawa, N.1
  • 23
    • 0018052098 scopus 로고
    • Node-and edge-deletion NP-complete problems
    • San Diego, Calif
    • Yannakakis, M Node-and edge-deletion NP-complete problems Proc 10th ACM Symp on Theory of Computing, San Diego, Calif, 1978, pp 253-264.
    • (1978) Proc 10th ACM Symp on Theory of Computing , pp. 253-264
    • Yannakakis, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.