메뉴 건너뛰기




Volumn 7, Issue 3, 2013, Pages 255-273

Partial Star Products: A Local Covering Approach for the Recognition of Approximate Cartesian Product Graphs

Author keywords

Approximate product; Cartesian product; Partial star product; Product relation

Indexed keywords


EID: 84886780429     PISSN: 16618270     EISSN: 16618289     Source Type: Journal    
DOI: 10.1007/s11786-013-0156-7     Document Type: Article
Times cited : (13)

References (23)
  • 1
    • 0011373247 scopus 로고
    • Cartesian graph factorization at logarithmic cost per edge
    • Aurenhammer F., Hagauer J., Imrich W.: Cartesian graph factorization at logarithmic cost per edge. Comput. Complex. 2, 331-349 (1992).
    • (1992) Comput. Complex. , vol.2 , pp. 331-349
    • Aurenhammer, F.1    Hagauer, J.2    Imrich, W.3
  • 2
    • 0022011993 scopus 로고
    • Arboricity and subgraph listing algorithms
    • Chiba N., Nishizeki T.: Arboricity and subgraph listing algorithms. SIAM J. Comput. 14(1), 210-223 (1985).
    • (1985) SIAM J. Comput. , vol.14 , Issue.1 , pp. 210-223
    • Chiba, N.1    Nishizeki, T.2
  • 4
    • 0043267861 scopus 로고
    • On factorable extensions and subgraphs of prime graphs
    • Feigenbaum J., Haddad R. A.: On factorable extensions and subgraphs of prime graphs. SIAM J. Discrete Math. 2, 197-218 (1989).
    • (1989) SIAM J. Discrete Math. , vol.2 , pp. 197-218
    • Feigenbaum, J.1    Haddad, R.A.2
  • 5
    • 0022145160 scopus 로고
    • A polynomial time algorithm for finding the prime factors of Cartesian-product graphs
    • Feigenbaum J., Hershberger J., Schäffer A. A.: A polynomial time algorithm for finding the prime factors of Cartesian-product graphs. Discrete Appl. Math. 12, 123-138 (1985).
    • (1985) Discrete Appl. Math. , vol.12 , pp. 123-138
    • Feigenbaum, J.1    Hershberger, J.2    Schäffer, A.A.3
  • 6
    • 0000330073 scopus 로고
    • On isometric embeddings of graphs
    • Graham R. L., Winkler P. M.: On isometric embeddings of graphs. Trans. Am. Math. Soc. 288(2), 527-536 (1985).
    • (1985) Trans. Am. Math. Soc. , vol.288 , Issue.2 , pp. 527-536
    • Graham, R.L.1    Winkler, P.M.2
  • 7
    • 33845677665 scopus 로고    scopus 로고
    • An algorithm for the weak reconstruction of Cartesian-product graphs
    • Hagauer J., Žerovnik J.: An algorithm for the weak reconstruction of Cartesian-product graphs. J. Combin. Inf. Syst. Sci. 24, 97-103 (1999).
    • (1999) J. Combin. Inf. Syst. Sci. , vol.24 , pp. 97-103
    • Hagauer, J.1    Žerovnik, J.2
  • 9
    • 79952780645 scopus 로고    scopus 로고
    • A local prime factor decomposition algorithm
    • Hellmuth M.: A local prime factor decomposition algorithm. Discrete Math. 311(12), 944-965 (2011).
    • (2011) Discrete Math. , vol.311 , Issue.12 , pp. 944-965
    • Hellmuth, M.1
  • 11
    • 72149097856 scopus 로고    scopus 로고
    • Local algorithms for the prime factorization of strong product graphs
    • Hellmuth M., Imrich W., Klöckl W., Stadler P. F.: Local algorithms for the prime factorization of strong product graphs. Math. Comput. Sci. 2(4), 653-682 (2009).
    • (2009) Math. Comput. Sci. , vol.2 , Issue.4 , pp. 653-682
    • Hellmuth, M.1    Imrich, W.2    Klöckl, W.3    Stadler, P.F.4
  • 12
    • 84886769786 scopus 로고    scopus 로고
    • Unique square property, equitable partitions, and product-like graphs
    • submitted
    • Hellmuth, M., Ostermeier, L., Stadler, P. F.: Unique square property, equitable partitions, and product-like graphs. Discrete Math. (2013, submitted). http://arxiv. org/abs/1301. 6898.
    • (2013) Discrete Math
    • Hellmuth, M.1    Ostermeier, L.2    Stadler, P.F.3
  • 15
    • 33845607309 scopus 로고    scopus 로고
    • Recognizing Cartesian products in linear time
    • Imrich W., Peterin I.: Recognizing Cartesian products in linear time. Discrete Math. 307(3-5), 472-483 (2007).
    • (2007) Discrete Math. , vol.307 , Issue.3-5 , pp. 472-483
    • Imrich, W.1    Peterin, I.2
  • 16
    • 0039379618 scopus 로고    scopus 로고
    • Recognizing Cartesian graph bundles
    • Imrich W., Pisanski T., Žerovnik J.: Recognizing Cartesian graph bundles. Discrete Math. 167-168, 393-403 (1997).
    • (1997) Discrete Math. , vol.167-168 , pp. 393-403
    • Imrich, W.1    Pisanski, T.2    Žerovnik, J.3
  • 17
    • 0041630475 scopus 로고    scopus 로고
    • On the weak reconstruction of Cartesian-product graphs
    • Imrich W., Žerovnik J.: On the weak reconstruction of Cartesian-product graphs. Discrete Math. 150(1-3), 167-178 (1996).
    • (1996) Discrete Math. , vol.150 , Issue.1-3 , pp. 167-178
    • Imrich, W.1    Žerovnik, J.2
  • 18
    • 84987486500 scopus 로고
    • Factoring Cartesian-product graphs
    • Imrich W., Žerovnik J.: Factoring Cartesian-product graphs. J. Graph Theory 18, 557-567 (1994).
    • (1994) J. Graph Theory , vol.18 , pp. 557-567
    • Imrich, W.1    Žerovnik, J.2
  • 19
    • 34247098978 scopus 로고    scopus 로고
    • Weak k-reconstruction of Cartesian product graphs
    • Comb01, Euroconference on Combinatorics, Graph Theory and Applications
    • Imrich, W., Zmazek, B., Žerovnik, J.: Weak k-reconstruction of Cartesian product graphs. Electron. Notes Discrete Math. 10, 297-300 (2001). Comb01, Euroconference on Combinatorics, Graph Theory and Applications.
    • (2001) Electron. Notes Discrete Math , vol.10 , pp. 297-300
    • Imrich, W.1    Zmazek, B.2    Žerovnik, J.3
  • 20
    • 0000692175 scopus 로고
    • Graph multiplication
    • Sabidussi G.: Graph multiplication. Math. Z. 72, 446-457 (1960).
    • (1960) Math. Z. , vol.72 , pp. 446-457
    • Sabidussi, G.1
  • 21
    • 63149093567 scopus 로고    scopus 로고
    • On recognition of strong graph bundles
    • Žerovnik J.: On recognition of strong graph bundles. Math. Slovaca 50, 289-301 (2000).
    • (2000) Math. Slovaca , vol.50 , pp. 289-301
    • Žerovnik, J.1
  • 22
    • 84867975559 scopus 로고    scopus 로고
    • Algorithm for recognizing Cartesian graph bundles
    • Zmazek B., Žerovnik J.: Algorithm for recognizing Cartesian graph bundles. Discrete Appl. Math. 120, 275-302 (2002).
    • (2002) Discrete Appl. Math. , vol.120 , pp. 275-302
    • Zmazek, B.1    Žerovnik, J.2
  • 23
    • 33845674689 scopus 로고    scopus 로고
    • Weak reconstruction of strong product graphs
    • Zmazek B., Žerovnik J.: Weak reconstruction of strong product graphs. Discrete Math. 307, 641-649 (2007).
    • (2007) Discrete Math. , vol.307 , pp. 641-649
    • Zmazek, B.1    Žerovnik, J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.