[PDF] Top 20 On the Maximum Independent Set Problem in Subclasses of Subcubic Graphs

... Keywords: Independent set; Polynomial-time algorithm; Subcubic graph 1 Introduction In a graph, an independent set is a subset of vertices no two of which are adja- ... Voir le document complet

... On the complexity of the exact weighted independent set problem ...optimization problem, such as minimum spanning tree, maximum cut in planar graphs, ... Voir le document complet

... preliminaries The problem of finding in a graph a maximum-size subgraph whose density differs (being smaller or larger) from that of the whole graph, arises often ... Voir le document complet

... preliminaries The problem of finding in a graph a maximum size subgraph whose density differs (being smaller or larger) from that of the whole graph, arises often ... Voir le document complet

... version, the complexities decrease to O(n 2 log n) time and O(n 2 ) ...for the maximum indepen- dent set problem on a given UDG, where the geometric representation of ... Voir le document complet

... directed graphs [25] and undirected graphs [15], [14], [16], [19] (in particular, it is known that the minimization problem is N P − ...where the edge-weights are in ... Voir le document complet

... to the same subtree t i [T k−1 ] must have distinct colors. ⊓ ⊔ Proof (of Proposition ...that the problem is APX-hard by modifying the L-reduction for Maximum Motif on bounded ... Voir le document complet

... thus, the worst possible solution, that assigns each job to a distinct machine, costs wor = P i∈V w i .... In this paper we are mainly interested in a maximization version of the ... Voir le document complet

... orollary of theorem 8 is that whenever α w (G) ≤ w(V )/k , then WGREEDY a hieves in G ratio k/(∆ + 1) for ...Consequently, in order to devise O(k/∆) -approximations for every graph, one an fo us ... Voir le document complet

... (i) The condition f + g ≤ κ implies that both f and g are bounded above by ...H of matching edges and for all k-tuple K of exposed vertices of V with respect to M , we form the ... Voir le document complet

... the problem from a worst-case viewpoint, maximizing the worst-case performance of the proposed ...interval graphs, mean- ing that the produced solutions are, up to a ... Voir le document complet

... The maximum independent set problem is one of the first problems that has been shown to be ...Moreover, the problem remains NP-hard under substantial ... Voir le document complet

... solution, in removing absent verti es (as our strategy U1 introdu ed in se tion 2) is ...kind of problems any feasible solution is a onne ted subgraph of the input-graph and sin e this ... Voir le document complet

... solution of HSB may be viewed as an m-length vector h whose jth coordinate, h j , indicates which bundle is chosen for S j ...gets the value argmax 1≤l≤g(j) {x j,l } (ties are broken ... Voir le document complet

... . In dimension 1, the proof of the first part of the theorem uses the self-similarity of the solutions to bring itself back to an ordinary differential ... Voir le document complet

... improve the solutions of the problem. The first approach focuses on identifying relevant classes of inequalities to tighten the relaxations of the ...study ... Voir le document complet

... By the definition of C in Step 4b and by Lemma 18, this implies that c has changed colour from O to ...I. The vertex c is no longer in G[O 0 ], thus it is removed from ...is in C ... Voir le document complet

... (10) The result will then follow immediately by the union bound. The expected number of edges in G[V \(I ∪U )] is (1−o(1))n 2
p ≥ n 2 p/3  n log 2 n, and so it follows from Chernoff’s ... Voir le document complet

... is the maximum number of bundles per set and M is the maximum number of sets an element can appear ...speaking the best approximation ratio that we can obtain ... Voir le document complet

... 3: The graph V s,t,E with the notation as in Lemma 6 (e 1 = e 2 = 1, e 3 = e 4 = 0, e 5 = e 6 = 1 with corresponding degrees q 1 and q 2 ), and with two optional edges (dashed) would have a cycle ... Voir le document complet