TY - JOUR A1 - Glück, Roland A1 - Möller, Bernhard T1 - Circulations, fuzzy relations and semirings T2 - Lecture Notes in Computer Science N2 - Circulations are similar to flows in capacity-constrained networks, with the difference that they also observe lower bounds and, unlike flows, are not directed from a source to a sink. We give a new description of circulations in networks using a technique introduced by Kawahara; he applied the same methods to network flows. We show the power and flexibility of his approach in a new application, refining it at the same time by introducing the concept of test relations. Furthermore we will give algebraic formulations of a generic algorithm for computing a flow in a network with lower bounds and a sufficient and necessary criterion for the existence of a circulation. Y1 - 2008 UR - https://opus.bibliothek.uni-augsburg.de/opus4/frontdoor/index/index/docId/58790 UR - https://nbn-resolving.org/urn:nbn:de:bvb:384-opus4-587907 SN - 9783540705932 SN - 9783540705949 SN - 0302-9743 SN - 1611-3349 VL - 5133 SP - 134 EP - 152 PB - Springer CY - Berlin ER -