메뉴 건너뛰기




Volumn 87, Issue 3, 2003, Pages 153-161

A linear time recognition algorithm for proper interval graphs

Author keywords

Algorithms; Chordal graphs; Hamiltonian cycle; Interval graphs; Proper interval graphs

Indexed keywords

ALGORITHMS; GRAPH THEORY; HAMILTONIANS;

EID: 0037671519     PISSN: 00200190     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0020-0190(03)00298-9     Document Type: Article
Times cited : (56)

References (32)
  • 1
    • 0020782108 scopus 로고
    • On the desirability of acyclic database schemes
    • Been C., Fagin R., Maier D., Yannakakis M. On the desirability of acyclic database schemes. J. ACM. 30:1983;479-513.
    • (1983) J. ACM , vol.30 , pp. 479-513
    • Been, C.1    Fagin, R.2    Maier, D.3    Yannakakis, M.4
  • 2
    • 49149133801 scopus 로고
    • The edge Hamiltonian path problem is NP-complete
    • Bertossi A.A. The edge Hamiltonian path problem is NP-complete. Inform. Process. Lett. 13:1981;157-159.
    • (1981) Inform. Process. Lett. , vol.13 , pp. 157-159
    • Bertossi, A.A.1
  • 3
    • 0020806803 scopus 로고
    • Finding Hamiltonian circuits in proper interval graphs
    • Bertossi A.A. Finding Hamiltonian circuits in proper interval graphs. Inform. Process. Lett. 17:1983;97-101.
    • (1983) Inform. Process. Lett. , vol.17 , pp. 97-101
    • Bertossi, A.A.1
  • 4
    • 0023045041 scopus 로고
    • Hamiltonian circuits in interval graph generalizations
    • Bertossi A.A., Bonuccelli M.A. Hamiltonian circuits in interval graph generalizations. Inform. Process. Lett. 23:1986;195-200.
    • (1986) Inform. Process. Lett. , vol.23 , pp. 195-200
    • Bertossi, A.A.1    Bonuccelli, M.A.2
  • 5
    • 0017216776 scopus 로고
    • Testing for the consecutive ones property, interval graphs and graph planarity using PQ-tree algorithms
    • Booth K.S., Lueker G.S. Testing for the consecutive ones property, interval graphs and graph planarity using PQ-tree algorithms. J. Comput. System Sci. 13:1976;335-379.
    • (1976) J. Comput. System Sci. , vol.13 , pp. 335-379
    • Booth, K.S.1    Lueker, G.S.2
  • 6
    • 0025474438 scopus 로고
    • Finding Hamiltonian cycles in certain planar graphs
    • Cimikowski R.J. Finding Hamiltonian cycles in certain planar graphs. Inform. Process. Lett. 35:1990;249-256.
    • (1990) Inform. Process. Lett. , vol.35 , pp. 249-256
    • Cimikowski, R.J.1
  • 10
    • 84972514233 scopus 로고
    • Incidence matrices and interval graphs
    • Fulkerson D.R., Gross O.S. Incidence matrices and interval graphs. Pacific J. Math. 15:1965;835-855.
    • (1965) Pacific J. Math. , vol.15 , pp. 835-855
    • Fulkerson, D.R.1    Gross, O.S.2
  • 11
    • 0000340664 scopus 로고
    • Algorithms for minimum coloring, maximum cliques, minimum covering by cliques and maximum independent set in a chordal graph
    • Gavril F. Algorithms for minimum coloring, maximum cliques, minimum covering by cliques and maximum independent set in a chordal graph. SIAM J. Comput. 1:1972;180-187.
    • (1972) SIAM J. Comput. , vol.1 , pp. 180-187
    • Gavril, F.1
  • 13
    • 0001309322 scopus 로고
    • The planar Hamiltonian cycle problem is NP-complete
    • Garey M.R., Johnson D.S., Tarjan R.E. The planar Hamiltonian cycle problem is NP-complete. SIAM J. Comput. 5:1976;704-714.
    • (1976) SIAM J. Comput. , vol.5 , pp. 704-714
    • Garey, M.R.1    Johnson, D.S.2    Tarjan, R.E.3
  • 14
    • 0001288032 scopus 로고
    • Characterization of comparability graphs and interval graphs
    • Gillmore P.C., Hoffman A.J. Characterization of comparability graphs and interval graphs. Canadian J. Math. 16:1964;539-548.
    • (1964) Canadian J. Math. , vol.16 , pp. 539-548
    • Gillmore, P.C.1    Hoffman, A.J.2
  • 16
    • 0038779469 scopus 로고
    • The Hamiltonian circuit problem is polynomial for 4-connected planar graphs
    • Gouyou-Beauchamps D. The Hamiltonian circuit problem is polynomial for 4-connected planar graphs. SIAM J. Comput. 11:1982;529-539.
    • (1982) SIAM J. Comput. , vol.11 , pp. 529-539
    • Gouyou-Beauchamps, D.1
  • 17
    • 77950855399 scopus 로고
    • A simple test for interval graphs
    • E.W. Mayr. Proc. 18th Workshop on Graph Theoretic Concepts in Computer Science. Berlin: Springer
    • Hsu W.L. A simple test for interval graphs. Mayr E.W. Proc. 18th Workshop on Graph Theoretic Concepts in Computer Science. Lecture Notes in Comput. Sci. 657:1993;10-16 Springer, Berlin.
    • (1993) Lecture Notes in Comput. Sci. , vol.657 , pp. 10-16
    • Hsu, W.L.1
  • 19
    • 57349127105 scopus 로고
    • Elimination orderings of chordal graphs
    • K.S. Vijayan, & N.M. Singhi. Calcutta, India: Indian Statistical Institute
    • Jamison R.E., Laskar R. Elimination orderings of chordal graphs. Vijayan K.S., Singhi N.M. Proc. of the Seminar on Combinatorics and Applications. 1982;192-200 Indian Statistical Institute, Calcutta, India.
    • (1982) Proc. of the Seminar on Combinatorics and Applications , pp. 192-200
    • Jamison, R.E.1    Laskar, R.2
  • 20
    • 0022061394 scopus 로고
    • Finding Hamiltonian circuits in Interval graphs
    • Keil J.M. Finding Hamiltonian circuits in Interval graphs. Inform. Process. Lett. 20:1985;201-206.
    • (1985) Inform. Process. Lett. , vol.20 , pp. 201-206
    • Keil, J.M.1
  • 21
    • 0024610616 scopus 로고
    • An incremental linear-time algorithm for recognizing interval graphs
    • Korte N., Mohring R.H. An incremental linear-time algorithm for recognizing interval graphs. SIAM J. Comput. 18:1989;68-81.
    • (1989) SIAM J. Comput. , vol.18 , pp. 68-81
    • Korte, N.1    Mohring, R.H.2
  • 23
    • 0027912827 scopus 로고
    • Polynomial time algorithms for Hamiltonian problems on bipartite distance-hereditary graphs
    • Muller H., Nicoli F. Polynomial time algorithms for Hamiltonian problems on bipartite distance-hereditary graphs. Inform. Process. Lett. 46:1993;225-230.
    • (1993) Inform. Process. Lett. , vol.46 , pp. 225-230
    • Muller, H.1    Nicoli, F.2
  • 24
    • 0005930797 scopus 로고
    • Intersection graphs of vertex disjoint paths in a tree
    • Panda B.S., Mohanty S.P. Intersection graphs of vertex disjoint paths in a tree. Discrete Math. 146:1995;179-209.
    • (1995) Discrete Math. , vol.146 , pp. 179-209
    • Panda, B.S.1    Mohanty, S.P.2
  • 26
    • 0038441596 scopus 로고
    • The Scott-Suppes theorem on semiorders
    • Rabinovitch I. The Scott-Suppes theorem on semiorders. J. Math. Psych. 15:1977;209-212.
    • (1977) J. Math. Psych. , vol.15 , pp. 209-212
    • Rabinovitch, I.1
  • 27
    • 0002930970 scopus 로고
    • Indifferences graphs
    • F. Harary. New York: Academic Press
    • Roberts F.S. Indifferences graphs. Harary F. Proof Techniques in Graph Theory. 1971;139-146 Academic Press, New York.
    • (1971) Proof Techniques in Graph Theory , pp. 139-146
    • Roberts, F.S.1
  • 29
    • 0000427477 scopus 로고
    • Foundational aspects of theories of measurement
    • Scott D., Suppes P. Foundational aspects of theories of measurement. J. Symbolic Logic. 23:1958;113-128.
    • (1958) J. Symbolic Logic , vol.23 , pp. 113-128
    • Scott, D.1    Suppes, P.2
  • 30
    • 0009183861 scopus 로고
    • An O(nlogn) algorithm for the Hamiltonian cycle problem on circular-arc graphs
    • Shih W.K., Chen T.C., Hsu H. An O(nlogn) algorithm for the Hamiltonian cycle problem on circular-arc graphs. SIAM J. Comput. 21:1992;1026-1046.
    • (1992) SIAM J. Comput. , vol.21 , pp. 1026-1046
    • Shih, W.K.1    Chen, T.C.2    Hsu, H.3
  • 32
    • 0021473698 scopus 로고
    • Simple linear-time algorithms to test chordality of graphs, test acyclicity of hypergraphs, and selectively reduce acyclic hypergraphs
    • Tarjan R.E., Yannakakis M. Simple linear-time algorithms to test chordality of graphs, test acyclicity of hypergraphs, and selectively reduce acyclic hypergraphs. SIAM J. Comput. 13:1984;225-231.
    • (1984) SIAM J. Comput. , vol.13 , pp. 225-231
    • Tarjan, R.E.1    Yannakakis, M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.