Circulant GraphsGaussian NetworksSpanning TreesIndependent Spanning TreesThis paper presents parallel constructions for edge-disjoint node-independent spanning trees in dense Gaussian networks using Tree-based and Propagation-based methods. These spanning trees are useful in secure message distribution and fault...
Montgomery, Embedding bounded degree spanning trees in random graphs, preprint, ... R Montgomery - 《Eprint Arxiv》 被引量: 55发表: 2014年 BOUNDED-DEGREE SPANNING TREES IN RANDOMLY PERTURBED GRAPHS We show that for any fixed dense graph G and bounded-degree tree T on the same number of ...
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 ...
Finding dense spanning trees (DST) in unweighted graphs is a variation of the well studied minimum spanning tree problem (MST). We utilize established mathematical properties of extremal structures with the minimum sum of distances between vertices to formulate some general conditions on the sum of ...
Solving Diameter Constrained Minimum Spanning Tree Problems in Dense Graphs In this study, a lifting procedure is applied to some existing formulations of the Diameter Constrained Minimum Spanning Tree Problem. This problem typical... AC Santos,CC Ribeiro,A Lucena - dx.doi.org 被引量: 76发表: ...
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 ...
However, Prim’s algorithm runs faster than Kruskal’s in dense graphs [30]. Therefore, we modified Prim’s algorithm to incorporate the second objective function. We start at the root and add all its neighbours with minimum edge weight to a priority queue. We then iteratively extract from ...
Reiher Relaxation procedures on graphs Discrete Appl. Math., 157 (9) (2009), pp. 2207-2216 View PDFView articleView in ScopusGoogle Scholar [48] D.B. Wilson Generating random spanning trees more quickly than the cover time Proceedings of the Twenty-Eighth Annual ACM Symposium on the Theory...
This problem can be modeled as a Steiner tree problem (STP) in graphs. Although these problems all involve finding spanning trees in graphs, they have different constraints and objective functions, requiring heuristic algorithms tailored to their specific problem characteristics, without a uniform ...
For example, if a complete graph has 4 vertices (n = 4) then the maximum number of possible spanning trees will be 4^(4-2) = 16. Let’s understand the concept of the derivation of a spanning tree with the help of the following example, in which we have a non-complete undirected,...