[PDF] Top 20 An o(n2 5) Algorithm: For Maximum Matchings in General Graphs

... Karp Algorithm (HK Algorithm) for maximum matchings in bipartite graphs to the non-bipartite case by providing a new approach to deal with the blossom in alternating paths in the ... See full document

... general graphs. In this paper, the same problem restricted to a class of graphs called trapezoid graphs is ...an O(n 2 )-time algorithm to solve the 2-tuple domination problem on ... See full document

... perfect matchings in a graph: a half-century old O ? (2 n/2 )-time algorithm of Ryser for bipartite graphs [4] has only recently been transferred to arbitrary graphs [5], and breaking ... See full document

... an algorithm for structure learning of general graphical models Markov on bounded-degree graphs, based on a series of conditional- independence ...an algorithm, similar in spirit, for learning ... See full document

... the maximum matching problem [17] by implementing the idea of augmenting chains due to Berge ...This algorithm also witnesses that the maximum weight independent set (MWIS) problem, being NP-hard in ... See full document

... bipartite graphs, maximum cardinality matching in general graphs, maximum weighted matching in bipartite graphs, and maximum weighted matching in general ... See full document

... regular graphs for even k when k < ∆; more generally, in this regime the approximate counting problem is NP-hard (unless NP=RP) on triangle-free graphs of maximum degree ...for general ... See full document

... Intersection graphs for many different families of geometric objects have been studied due to their practical applications and rich structural properties [31, ...disk graphs, which are intersection ... See full document

... These conjectures remain widely open. However, asymptotic versions are known to be true. For instance, as a consequence of a theorem of H¨aggkvist and Johansson [7] one obtains that there is a rainbow matching of size n ... See full document

... locally o(n/ log 2 n)-bounded has (1 − o(1))n edge-disjoint rainbow perfect ...a general theorem about rainbow F -factors for arbitrary graphs F ... See full document

... explores maximum as well as optimal matchings with a strong focus on algorithmic approaches to determining these ...about matchings including Berge’s Theorem, Hall’s Theorem and the König-Egerváry ... See full document

... Lemma 2.7. [15] Given a graph G = (V,E ) of order n, let d be the size of a maximum matching of G. Then there exists a subset S ⊂ V such that d = 1 2 (n − (o(G − S) − |S|)), where o(G − S) is the ... See full document

... In this section, we extend our investigation from complete graphs to complete q-partite graphs. Recall that a graph G is q-partite if its vertex set can be partitioned into q ≥ 2 independent sets. The ... See full document

... (1) maximum conditional likelihood (Lafferty et ...(2) maximum margin (Collins, 2002; Altun et ...the maximum-margin approach appears to be ...that maximum- margin estimation can be formulated ... See full document

... stable matchings, even for very small initial values of such as ...stable matchings, with a slight decline in the probability of stability when only men explore (under the woman-optimal matching ... See full document

... be achieved. With different node numbers and different source-sink node pair requests, the small satellite network throughput of our method based on TEG model is obviously larger than that obtained by using the augmented ... See full document

... linear algorithm to compute chromatic sum for trees. The above algorithm proceeds from the leaves of a given tree to its ...this algorithm was used in the next ...the algorithm produces ... See full document

... The convention of using colors originates from coloring the countries of a map, where each face is literally colored. This was generalized to coloring the faces of a graph embedded in the plane. By planar duality it ... See full document

... extremal graphs with respect to matching energy among some classes of connected graphs with n ...extremal graphs in connected unicyclic, bicyclic graphs were determined in [] and [, ], ... See full document

... and maximum values of the harmonic index for simple connected graphs, trees and unicyclic graphs and characterized the corresponding extremal ...special graphs namely ladder graph, prism graph ... See full document