Journal of Combinatorial OptimizationQ. Cai, X. Li, D. Wu, Some extremal results on the colorful monochromatic vertex- connectivity of a graph, arXiv 1503. o8941 v1 [math. CO] 31 Mar 2015.Q. Cai, X. Li, D. Wu, Some extremal results on the colorful monochromatic vertex- connectivity...
Combinatorica` As of Version 10, most of the functionality of theCombinatoricapackage is built into the Wolfram System.» VertexConnectivityGraph[g] returns a directed graph that contains an edge corresponding to each vertex inand in which edge-disjoint paths correspond to vertex-disjoint paths in...
We denote the survival subgraph of the vertex subversion s... Marci,J.,Gambrell - 《Discrete Mathematics》 被引量: 23发表: 2000年 Vertex-neighbor-scattering number of graphs vulnerabilityIncorporatingheonceptfhecattering numberndhe ideafhe vertex-neighbor-connectivity, we introduce new graph pa-...
There has been an impressive series of ever-faster parameterized algorithms to solvek-Vertex Cover,Footnote1which led to the current-best algorithm by Chen et al. that can decide whether a graphGhas a vertex cover of sizekin\mathcal{O}(1.2738^{k} +kn)time and polynomial space [9,10,20...
We consider the complexity of deciding if a given vertex-colored graph is rainbow or strongly rainbow vertex connected. We call these problems Rainbow Vertex Connectivity and Strong Rainbow Vertex Connectivity, respectively. We prove both problems remain NP -complete on very restricted graph classes ...
Before you run the test, complete the test setup as described in the test requirements: Graphic Adapter or Chipset Testing Prerequisites.TroubleshootingFor generic troubleshooting of HLK test failures, see Troubleshooting Windows HLK Test Failures.For troubleshooting information, see Troubleshooting Device....
Note that in Definition 2, the strong connectivity of G is preserved when deleting a vertex. Hence it is always possible to play whenever G is not empty. Fig. 2 illustrates a sequence of moves of Directed vertexnim, where both players remove all the weight of the current vertex at their...
We shall also determine f(G) when G is a complete multipartite graph, and when G is a generalized 0-graph (i.e., a graph which is a subdivision of a multiple edge). Some applications will also be discussed. Further results about the balanced decomposition number also appear in two ...
As a solution researchers began to provide space-efficient algorithms and data structures to solve basic problems like graph-connectivity problems [3, 5, 14, 20, 24], other graph problems [27, 32], memory initialization [26, 33], dictionaries with constant-time operations [12, 15, 23] or...
Assuming graph connectivity, this simplifies to a growth rate for Extended-Dijkstra-V1 of 𝑓1=𝒪((𝑚𝑐−max)lg(𝑛𝑐−max)). (3) As previously noted, the complexity of Dijkstra using a binary heap is 𝒪(𝑚lg𝑛). Using a Kirby–Potts expansion, in the worst case ...