TY - RPRT A1 - Brunn, Thomas A1 - Möller, Bernhard A1 - Russling, Martin T1 - Layered graph traversals and Hamiltonian path problems - an algebraic approach N2 - Using an algebra of paths we present abstract algebraic derivations for two problem classes concerning graphs, viz. layer oriented traversal and computing sets of Hamiltonian paths. In the first case, we are even able to abstract to the very general setting of Kleene algebras. Applications include reachability and a short path problem as well as topological sorting, cycle detection and finding maximum cardinality matchings. T3 - Reports / Technische Berichte der Fakultät für Angewandte Informatik der Universität Augsburg - 1997-08 Y1 - 2006 UR - https://opus.bibliothek.uni-augsburg.de/opus4/frontdoor/index/index/docId/266 UR - https://nbn-resolving.org/urn:nbn:de:bvb:384-opus4-2179 PB - Institut für Informatik, Universität Augsburg CY - Augsburg ER -