Abstract.
In this paper, we investigate both combinatorial and complexity aspects of the problem of finding best transitive approximations to simple graphs. These problems are addressed in an interlocked way. We provide new and simple proofs of known results and in addition prove some new theorems.
Similar content being viewed by others
References
Blum, N. (1990) A new approach to maximum matchings in general graphs. In: Paterson, M. (ed.) ICALP 90: Automata, Languages and Programming (LNCS 443) 17: 586-597
De Clercq, R., Horsten, L. Closer. Synthese (to appear)
Garey, M.R., Johnson, D.S., Stockmeyer, L. (1976) Some simplified NP-complete graph problems. Theoretical Computer Science 1: 237-267
Krantz, S. (2002) Logic and proof techniques for computer science. Birkhäuser
Krivanek, M., Moravek, J. (1986) NP-hard problems in hierarchical tree-clustering. Acta Informatica 23: 311-323
Moon, J.W. (1966) A note on approximating symmetric relations by equivalence classes. SIAM Journal of Applied Mathematics 14: 226-227
Tomescu, I. (1974) La réduction minimale d’un graphe á une réunion de cliques. Discrete Mathematics 10: 173-179
Williamson, T. (1986) Criteria of identity and the axiom of choice. Journal of Philosophy 83: 380-394
Williamson, T. (1990) Identity and discrimination. Blackwell
Zahn, C.T., Jr. (1964) Approximating symmetric relations by equivalence relations. SIAM Journal of Applied Mathematics 12: 840-847
Author information
Authors and Affiliations
Additional information
Received: 16 April 2003, Published online: 8 July 2004
Rights and permissions
About this article
Cite this article
Delvaux, S., Horsten, L. On best transitive approximations to simple graphs. Acta Informatica 40, 637–655 (2004). https://doi.org/10.1007/s00236-004-0144-0
Issue Date:
DOI: https://doi.org/10.1007/s00236-004-0144-0