Titlebook: ;

慢跑鞋

Divide-and-Color,t randomly colors all edges or nodes of a graph black and white, and then solves the problem recursively on the two induced parts..We demonstrate this technique by giving new randomized algorithms for the solution of two important problems. These yield runtime bounds of . .(4.) for finding a simple

hangdog

Listing Chordal Graphs and Interval Graphs,h (in K.) of ., and to find every interval subgraph of . in K.. The algorithms are based on the reverse search method. A graph is chordal if and only if it has no induced chordless cycle of length more than three. A graph is an interval graph if and only if it has an interval representation. To the

artless

A Branch-and-Reduce Algorithm for Finding a Minimum Independent Dominating Set in Graphs,dent set, i.e. no vertices in . are pairwise adjacent, then . is said to be an independent dominating set. Finding a minimum independent dominating set in a graph is an NP-hard problem. We give an algorithm computing a minimum independent dominating set of a graph on . vertices in time .(1.3575.). F

Glower

Improved Edge-Coloring with Three Colors,he previous, .(2.) algorithm of Beigel and Eppstein [1]. We extend a very natural approach of generating inclusion-maximal matchings of the graph. The time complexity of our algorithm is estimated using the “measure and conquer” technique.

傷心

,Vertex Coloring of Comparability+,e and –,e Graphs,ges from a graph in .. In this paper, we consider vertex coloring of comparability+.e and comparability–.e graphs. We show that for comparability+.e graphs, vertex coloring is solved in polynomial time for .=1 and NP-complete for . ≥2. We also show that vertex coloring of comparability–1e graphs is

entitle

Debility

progestin

Approximating the Traffic Grooming Problem in Tree and Star Networks,r of used ADMs. We first present efficient approximation algorithms with approximation factor of 2 ln (. . .) + .(ln (. . .)) for any fixed node degree bound . and grooming factor ., and 2ln .+ .( ln .) in unbounded degree directed trees, respectively. In the attempt of extending our results to gene

期滿

Bounded Arboricity to Determine the Local Structure of Sparse Graphs,bility vectors to detect the communities, see Latapy and Pons [2005]. In this paper we focus on the first part of such an approach . the computation of the probability vectors for the random walks, and propose a more efficient algorithm for computing these vectors in time complexity that is linear i

Recess

An Implicit Representation of Chordal Comparabilty Graphs in Linear-Time,al comparability graphs are comparability graphs of posets of dimension four. Among other uses, this gives an implicit representation of a chordal comparability graph using .(.) integers so that, given two vertices, it can be determined in .(1) time whether they are adjacent, no matter how dense the