Results 21 to 30 of about 52,307 (305)

Improved approximation algorithms for degree-bounded network design problems with node connectivity requirements [PDF]

open access: yes, 2014
We consider degree bounded network design problems with element and vertex connectivity requirements. In the degree bounded Survivable Network Design (SNDP) problem, the input is an undirected graph G = (V, E) with weights w(e) on the edges and degree ...
Ali Vakilian   +3 more
core   +1 more source

Crown reductions for the Minimum Weighted Vertex Cover problem [PDF]

open access: yes, 2004
The paper studies crown reductions for the Minimum Weighted Vertex Cover problem introduced recently in the unweighted case by Fellows et al. [Blow-Ups, Win/Win's and crown rules: some new directions in FPT, in: Proceedings of the 29th International ...
Chlebikova, Janka   +6 more
core   +1 more source

Graph Realizations: Maximum Degree in Vertex Neighborhoods [PDF]

open access: yes, 2020
The classical problem of degree sequence realizability asks whether or not a given sequence of n positive integers is equal to the degree sequence of some n-vertex undirected simple graph. While the realizability problem of degree sequences has been well
Rawitz, Dror   +3 more
core   +1 more source

Estimation of vertex degrees in a sampled network [PDF]

open access: yes2017 51st Asilomar Conference on Signals, Systems, and Computers, 2017
The need to produce accurate estimates of vertex degree in a large network, based on observation of a subnetwork, arises in a number of practical settings. We study a formalized version of this problem, wherein the goal is, given a randomly sampled subnetwork from a large parent network, to estimate the actual degree of the sampled nodes.
Apratim Ganguly, Eric D. Kolaczyk
openaire   +2 more sources

Minimum 2SAT-DELETION: inapproximability results and relations to Minimum Vertex Cover [PDF]

open access: yes, 2007
The MINIMUM 2SAT-DELETION problem is to delete the minimum number of clauses in a 2SAT instance to make it satisfiable. It is one of the prototypes in the approximability hierarchy of minimization problems Khanna et al.
Chlebikova, Janka   +5 more
core   +1 more source

Vertex-centric communities on degree-1 vertices. [PDF]

open access: yes, 2017
We do not calculate extended vertex-centric communities for seed vertices of degree equal to 1. However, they may be included in extended communities centered on other vertices.
Yiannis Kompatsiaris (3826402)   +2 more
core   +1 more source

Degree sum condition for vertex-disjoint 5-cycles [PDF]

open access: yesDiscussiones Mathematicae Graph Theory
Let $n$ and $k$ be two integers and $G$ a graph with $n=5k$ vertices. Wang proved that if $\delta(G)\geq 3k$, then $G$ contains $k$ vertex disjoint cycles of length $5$.
Maoqun Wang, Jianguo Qian
doaj   +2 more sources

On Certain Types of Neutrosophic Fuzzy Graphs

open access: yesPan-American Journal of Mathematics, 2022
In this paper, we introduce some types of NF graphs and operations. Also we define the partial NF subgraph, spanning NF subgraph, strong degree of the vertex, total strong degree of the vertex and its properties are included.
Alias B. Khalaf, Prithivirajan Padma
doaj   +1 more source

Usefulness of Combinations of Vertex-Degree Weighted Path Indices and Elements of a Universal Matrix

open access: yesActa Chimica Slovenica, 2019
The mutually optimized combinations of vertex-degree weighted path indices and the vertex-degree vertex-distance weighted elements of the Universal matrix were applied in the way of TInew = ∑kN×PN(aN,bN,...) + kij×uij(aij,bij,cij).
Anton Perdih
doaj   +1 more source

Complexity of approximating bounded variants of optimization problems [PDF]

open access: yes, 2006
We study low degree graph problems such as Maximum Independent Set and Minimum Vertex Cover. The goal is to improve approximation lower bounds for them and for a number of related problems like Max-B-Set Packing, Min-B-Set Cover, and Max-B-Dimensional ...
Chlebikova, Janka   +3 more
core   +1 more source

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