In this paper it is shown that for bipartite graphs the structure of the family of maximum independent sets can be described constructively, in the following sense. For a bipartite graph there are some "basic" maximum independent sets, in terms of which any maximum independent set can be ...
A bipartite graph G=(V,W,E) is convex if there exists an ordering of the vertices of W such that, for each v∈V, the neighbors of v are consecutive in W. We describe both a sequential and a BSP/CGM algorithm to find a maximum independent set in a convex bipartite graph. The ...
Fujisawa.Generation of Maximum Independents Sets of a Bipartite Graph and Maximum Cliques of a Circular-Arc Graph. Journal of Algorithms, 13, pp. 161-174. 1992.Generation of maximum independent sets of a bipartite graph and maximum cliques of a circular-arc graph - Kashiwabara, Masuda, et al...
We extend their approach to solve the weighted case in O( n log n + m log log n) time. Our algorithm is based on a characterization of maximum weight independent sets in bipartite graphs, which is not related to bipartite matching. 展开 ...
(高负载):用于抓取或平衡最大重量的载荷物。 www.dictall.com 2. MinimumWeightVertexCoveringSetandMaximumWeightVertexIndependentSetinaBipartiteGraph. 二分图的最小点权覆盖集与最大点权独立集。 adn.cn 3. MaximumweightmatchinginATMswitchinghasadvantagesofhighthroughputandgoodperformance. ...
Fujisawa (1992), Generation of Maximum Independent Sets of a Bipartite Graph and Maximum Cliques of a Circular-Arc-Graph,Journal of Algorithms 13, 161–174. Google Scholar B. Khoury and P. M. Pardalos (1993), An Algorithm for Finding the Maximum Clique on an Arbitrary Graph, Working ...
Dallard, Milani\v{c}, and \v{S}torgel [arXiv '22] ask if for every class excluding a fixed planar graph $H$ as an induced minor, Maximum Independent Set can be solved in polynomial time, and show that this is indeed the case when $H$ is any planar complete bipartite graph, or...
The maximum number [Math Processing Error]η(n) of maximal independent sets in a loop-less connected bipartite graph with n vertices is known [15]. According to (4), [Math Processing Error]η(n) is an upper-bound on the number of fixed points in an AND–OR-net with n components; an...
Given a graph $G$, a non-negative integer $k$, and a weight function that maps each vertex in $G$ to a positive real number, the \emph{Maximum Weighted Budgeted Independent Set (MWBIS) problem} is about finding a maximum weighted independent set in $G$ of cardinality at most $k$....
They discovered the closeness matrix and established a relationship between the closeness eigenvalues and the structure of a graph. Recently, Hayat and Otera [23] explored the graphs having maximum closeness in the class of bipartite graphs with some given parameters such as diameter, dissociation ...