TY - JOUR A1 - Brunn, Thomas A1 - Möller, Bernhard A1 - Russling, Martin T1 - Layered graph traversals and Hamiltonian path problems — an algebraic approach T2 - Lecture Notes in Computer Science 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 shortest path problem as well as topological sorting and finding maximum cardinality matchings. Y1 - 1998 UR - https://opus.bibliothek.uni-augsburg.de/opus4/frontdoor/index/index/docId/26223 UR - https://nbn-resolving.org/urn:nbn:de:bvb:384-opus4-262236 SN - 0302-9743 VL - 1422 SP - 96 EP - 121 PB - Springer ER -