منابع مشابه
On spanning tree congestion
We prove that every connected graph G of order n has a spanning tree T such that for every edge e of T the edge-cut defined in G by the vertex sets of the two components of T − e contains at most n 32 many edges which solves a problem posed by Ostrovskii (Minimal congestion trees, Discrete Math. 285 (2004), 219-226.)
متن کاملOn spanning tree congestion of Hamming graphs
We present a tight lower bound for the spanning tree congestion of Hamming graphs.
متن کاملOn Spanning Tree Congestion of Product Graphs
In this paper we consider the spanning tree congestion for several families of graphs. We find the exact spanning tree congestion for toroidal meshes, Cm×Cn, and cylindrical meshes, Pm×Cn,. Also we find bounds for the spanning tree congestion of Qn, and a construction that gives the upper bound.
متن کاملSpanning tree congestion critical graphs
The linear or cyclic cutwidth of a graph G is the minimum congestion when G is embedded into either a path or a cycle respectively. A graph is cutwith critical if it is homeomorphically minimal and all of its subgraphs have lower cutwitdth. Our purpose is to extend the study of congestion critical graphs to embeddings on spanning trees.
متن کاملSpanning tree congestion of some product graphs
We estimate spanning tree congestion for cartesian products of paths and complete graphs.
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ژورنال
عنوان ژورنال: Discrete Mathematics
سال: 2009
ISSN: 0012-365X
DOI: 10.1016/j.disc.2009.01.012