The following sections are included:IntroductionMatchings in Bipartite GraphsExercise for Section 7.2Hall's TheoremExercise for Section 7.3System of Distinct RepresentativesExercise for Section 7.4Maximum Matchings and Perfect MatchingsExercise for Section 7.5Independence, Covering and Gallai IdentitiesExercise ...
The template is a facial image covering the eyebrows, the outer left and right edges of the eyes, and the bottom of the mouth. A match function that finds the minimum sum of absolute differences between the value of the red color component of each pixel in the image region and the face...
Minimum Covering Run Expression of Document Image Based on Matching of Bipartite Graph (Special Issue on Image Processing and Understanding) An efficient technique for expressing document image is required as part of a unified approach to document image processing. This paper presents a new meth......
We also show that the maximum number of edges in an n-vertex graph such that α′(G)=3k and αg′(G)=2k is (3k2)+3k(n−3k) when n≥6k. Finally, we prove the general upper bound αˆg′(G)≤32μ(G), where μ(G) is the minimum size of a maximal matching in G. In...
and thus, it is not fast enough to be used for on-line systems where a large number of tunes need to be compared. Motivated by similarity problems in music theory, in this paper we study several constrained minimum-weight many-to-many point matching problems in which the allowed pairings ...
2.Let γ(G),β(G) and α(G) be the domination number, matching number and covering number of a graph G, respectively.我们分别用γ(G),β(G)和0α(G)表示图G的控制数、匹配数和覆盖数,对任意连通图,有γ(G)≤β(G)≤α(G)成立,1998年,Randerath和Volkmann给出了控制数等于覆盖数的图的...
On the basis of Konig theorem,the relations between the vertices set of M-saturated(M is any maximum matching set of a bipartite graph G)and any minimum covering set of a bipartite graph G,were analyzed. 以Konig定理作为理论基础,分析偶图的任一最大匹配的饱和顶点集与其任一最小覆盖的关系,得...
bifurcation under assumptions which force the linearization to have odd geometric multiplicity and the "algebraic multiplicity" equal the geometric multiplicity. ... SC Welsh - 《Nonlinear Analysis Theory Methods & Applications》 被引量: 30发表: 1988年 On flutter instability in elastoplastic constitutive...
For a graph G, let im(G) denote the size of a largest induced matching in G. It is known [22], [7] that given a graph G and integer k, deciding whether im(G)≥k is NP-complete even when G is bipartite. However, for several restricted families of graphs, this problem has been...
While efficient implementations are available [5], optimal matching—and also order-optimal matching—is computationally more expensive than greedy matching, making its use more suitable for small data sets. More recent research on optimal matching focuses on extensions covering the use of constraints ...