Quasigroups defining Eulerian paths in complete graphs
نویسندگان
چکیده
منابع مشابه
Eulerian disjoint paths problem in grid graphs is NP-complete
We show that the edge disjoint paths problem is NP-complete in directed or undirected rectangular grids, even if the union G + H of the supply and the demand graph is Eulerian.
متن کاملGreedy Edge-Disjoint Paths in Complete Graphs
The maximum edge-disjoint paths problem (MEDP) is one of the most classical NP-hard problems. We study the approximation ratio of a simple and practical approximation algorithm, the shortest-pathfirst greedy algorithm (SGA), for MEDP in complete graphs. Previously, it was known that this ratio is at most 54. Adapting results by Kolman and Scheideler [Proceedings of SODA, 2002, pp. 184–193], we ...
متن کاملComplete Bipartite Graphs with No Rainbow Paths
Motivated by questions in Ramsey theory, Thomason and Wagner described the edge colorings of complete graphs that contain no rainbow path Pt of order t. In this paper, we consider the edge colorings of complete bipartite graphs that contain no rainbow path Pt. Mathematics Subject Classification: 05C15, 05C38, 05C55
متن کاملEulerian Paths with Regular Constraints
Labeled graphs, in which edges are labeled by letters from some alphabet Σ, are extensively used to model many types of relations associated with actions, costs, owners, or other properties. Each path in a labeled graph induces a word in Σ∗ – the one obtained by concatenating the letters along the edges in the path. Classical graph-theory problems give rise to new problems that take these words...
متن کاملPacking Plane Spanning Trees and Paths in Complete Geometric Graphs
We consider the following question: How many edgedisjoint plane spanning trees are contained in a complete geometric graph GKn on any set S of n points in general position in the plane?
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Combinatorial Theory, Series B
سال: 1982
ISSN: 0095-8956
DOI: 10.1016/0095-8956(82)90075-2