Cycle detection is a particular research field in graph theory. There are algorithms to detect cycles for both undirected and directed graphs. There are scenarios where cycles are especially undesired. An example is the use-wait graphs of concurrent systems. In such a case, cycles mean that exis...
Discrete Mathematics Graph Theory Circuits Graph CycleA cycle of a graph , also called a circuit if the first vertex is not specified, is a subset of the edge set of that forms a path such that the first node of the path corresponds to the last. A maximal set of edge-disjoint cycles ...
cycles (Graph theory)COMBINATORIAL analysisMATRICESNUMBER theoryDETERMINANTSOne method for counting weighted cycle systems in a graph entails taking the determinant of the identity matrix minus the adjacency matrix of the graph. The result of this operation is the sum over cycle systems of 1 to the...
定义偏差:GTM244 graph theory J.A.Bondy U.S.R.Murty 中文自翻1.3源自其他结构的图(Graphs Arising from Other Structures)4 赞同 · 2 评论文章 定义偏差:GTM244 graph theory J.A.Bondy U.S.R.Murty 中文自翻2.6偶子图(Even Subgraphs)5 赞同 · 0 评论文章 定义偏差:GTM244 graph theory J.A.Bondy...
Gartner Hype Cycle methodology gives you a view of how a technology or application will evolve over time, providing a sound source of insight to manage its deployment within the context of your specific business goals.
In particular, we show that random graph theory provides a suitable mathematical framework to describe the experimentally-observed singularities as phase transitions across the cortical neuropil. We introduce the hypothesis that the rapid propagation of phase dispersion over the hemisphere is the ...
Journal of Graph TheoryTony Huynh, Andrew D. King, Sang-Il Oum, Maryam Verdian-Rizi, Strongly even cycle decomposable graphs, J. Graph Theory 84 (2) (2017) 158-175.T. Huynh, A. King, S.-I. Oum, M. Verdyan-Rizzi, Strongly even cycle decomposable graphs, http://arxiv.org/abs/...
Rodger. Cycle systems of the line graph of the complete graph, J. Graph Theory 21 (1996) 1'73 - 182.Cycle Systems of the Line Graph of the Complete Graph - Cox, Rodger - 1996Cox, B.A., Rodger, C.A.: Cycle systems of the line graph of the complete graph. J. Graph Theory 21...
In terms of graph theory, this can be achieved by studying the eigenvalues of a certain matrix, being associated with the graph. Indeed, the smallest non-trivial eigenvalue of the so-called graph Laplacian of an undirected graph quantifies the vulnerability of the graph with respect to ...
In graph theory, a cycle graph is an undirected graph that consists of a single cycle, or in other words, some number of vertices connected in a closed chain. Now, you are given a graph where some vertices are connected to be components, can you figure out how many components are there...