On the independence number of sparse graphs
Web1 de out. de 1995 · Lower bounds and approximation algorithms for the independence number α(G) in k-clique-free graphs G are studied and it is shown that there exists an … Web7 de abr. de 2024 · Nowhere dense graph classes, introduced by Nešetřil and Ossona de Mendez [2010, 2011], form a large variety of classes of “sparse graphs” including the class of planar graphs, actually ...
On the independence number of sparse graphs
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Web23 de fev. de 2011 · Abstract. We obtain new lower bounds for the independence number of K-r-free graphs and linear k-uniform hypergraphs in terms of the degree sequence. … Web1 de out. de 1996 · Let G = (V,E) be a graph on n vertices with average degree t ≥ 1 in which for every vertex v ∈ V the induced subgraph on the set of all neighbors of v is r …
Web1 de mai. de 2004 · in this paper that this is true for the b-independence n umber. Theorem 1 L et b b e a p osit i v e in te ger c onstan t and let ǫ > 0 b e giv en. Assume that d WebCombinatorics, Probability and Computing. Periodical Home; Latest Issue; Archive; Authors; Affiliations; Home; Browse by Title; Periodicals; Combinatorics ...
Web15 de nov. de 1993 · 1. Introduction A set of vertices of a graph is independent if the vertices are pairwise nonadjacent. The independence number of a graph G, a (G), is the cardinality of a largest independent set of G. For graph G= (V, E) and A s:- V we let the subgraph of G induced by A, G I A, be the graph with vertices A and edges being those … WebHowever, computing the independence number of a given graph is well-known to be an NP-hard problem. Our main focus here is thus nding e cient methods to compute (up to vanishing errors) the independence number of large sparse random graphs. Building on recent resultsBermolen et al.(2024a),Brightwell
Web8 de abr. de 2014 · 2 Answers. Generally, it is said that a graph with n vertices is dense if it has Theta ( n ^2) edges and is sparse otherwise. This means that a graph is dense if the average degree of each vertex is lineal, and sparse if sublineal. Sparsity does not deppend on size. For instance, trees are sparse (because a tree with n nodes has n-1 edges).
WebWe obtain new lower bounds for the independence number of K r -free graphs and linear k -uniform hypergraphs in terms of the degree sequence. This answers some old … graffitis bombaWebOur proof technique is an extension of a method of Caro [New Results on the Independence Number, Technical report, Tel Aviv University, 1979] and Wei [A Lower Bound on the Stability Number of a Simple Graph, TM 81-11217-9, Bell Laboratories, Berkley Heights, NJ, 1981], and we also give a new short proof of the main result of Caro … china bodysuit cotton newborn manufacturerWebLet G = (V, E) be a graph on n vertices with average degree t ≥ 1 in which for every vertex v ϵ V the induced subgraph on the set of all neighbors of v is r-colorable.We show that the … graffitis bocetosWebproperties), by low tree-depth colorings [26], by generalized coloring numbers [37], by sparse neighborhood covers [17, 18], by a game called the splitter game [18], and by the … china bodysuit cotton newborn suppliersWeb1 de out. de 1995 · On the independence number of sparse graphs On the independence number of sparse graphs Shearer, James B. 1995-10-01 00:00:00 … graffitis aestheticWeb22 de jul. de 2024 · The paper presents a simple, yet robust computer vision system for robot arm tracking with the use of RGB-D cameras. Tracking means to measure in real time the robot state given by three angles and with known restrictions about the robot geometry. The tracking system consists of two parts: image preprocessing and machine learning. In … graffitis amorWeb22 de jul. de 2024 · The paper presents a simple, yet robust computer vision system for robot arm tracking with the use of RGB-D cameras. Tracking means to measure in real … graffitis car wash rapid city sd