Solving diameter constrained minimum spanning tree problems in dense graphs. In Proceedings of the International Workshop on Experimental Algorithms, volume 3059 of LNCS, pages 458-467. Springer, 2004.Santos, A.C., Lucena, A., Ribeiro, C.C.: Solving diameter constrained minimum spanning tree ...
Spanning trees in dense directed graphs 2022, Journal of Combinatorial Theory. Series B Citation Excerpt : Key to our result is to use a random embedding of part of the tree using ‘guide sets’ and embedding many leaves (and small subtrees) of the tree using ‘guide graphs’. This replac...
spanning treesuniversalityWe solve a problem of Krivelevich, Kwan and Sudakov [16] concerning the threshold for the containment of all bounded degree spanning trees in the model of randomly perturbed dense graphs. More precisely, we show that, if we start with a dense graph Gα on n ...
Further, K2m has m(2m−1) edges and it is well known that these edges can be partitioned into m spanning trees. This led Brualdi and Hollingsworth [5] to make the following conjecture in 1996. Conjecture 1 [5] If K2m is (2m−1)-edge-colored, then the edges of K2m can be...
As we will be able to prove some of our theorems in greater generality, we also introduce a slightly different set of assumptions. Assumption 1.5 Let be a sequence of finite connected graphs with . 1. There exists such that ; 2. There exists such that as . 3. There exists some ...
For connected graphs, a spanning tree is a subgraph that connects every node in the graph, but contains no cycles. There can be many spanning trees for any given graph. By assigning a weight to each edge, the different spanning trees are assigned a number for the total weight of their ed...
Finding dense and sparse spanning trees reduces to a discrete optimization problem. The provided source code employs genetic algorithm which is one of the well-known metaheuristics methods to find DST and SST approximately. 点赞(0) 踩踩(0) 反馈 所需:1 积分 电信网络下载 ...
same. Prim’s time complexity is O(n 2 ), which is independent on edges, so it is suitable for dense edge graph. b) Kruskal Break all the edges in a graph, that makes the graph becomes into n connected-graphs. Look for the greatest edge...
16 , the authors propose an MIP formulation based on single commodity flows, a frequently used modelling technique for spanning trees. A branch-and-cut algorithm based on directed connection cuts and cycle-elimination cuts for an extension of the MLST problem has been described in 17 . For a ...
For a connected graph G, the spanning tree packing number, denoted by τ(G), is the maximum number of edge-disjoint spanning trees in G. The arboricitya(G) is the minimum number of edge-disjoint forests whose union equals E(G). Fundamental theorems characterizing graphs G with τ(G)≥k...