Results 11 to 20 of about 196,583,728 (297)
Vertex degrees close to the average degree
Discrete Mathematics, 2023 Let $G$ be a finite, simple, and undirected graph of order $n$ and average degree $d$. Up to terms of smaller order, we characterize the minimal intervals $I$ containing $d$ that are guaranteed to contain some vertex degree. In particular, for $d_+\in \left(\sqrt{dn},n-1\right]$, we show the existence of a vertex in $G$ of degree between $d_+-\left ...
Johannes Pardey, Dieter Rautenbach
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Sparse Vertex Cutsets and the Maximum Degree
The Electronic Journal of CombinatoricsWe show that every graph $G$ of maximum degree $\Delta$ and sufficiently large order has a vertex cutset $S$ of order at most $\Delta$ that induces a subgraph $G[S]$ of maximum degree at most $\Delta-3$. For $\Delta\in \{ 4,5\}$, we refine this result by considering also the average degree of $G[S]$.
Bessy, Stéphane +3 more
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On Structural Parameterizations of the Bounded-Degree Vertex Deletion Problem [PDF]
, 2018 We study the parameterized complexity of the Bounded-Degree Vertex Deletion problem (BDD), where the aim is to find a maximum induced subgraph whose maximum degree is below a given degree bound.
Ordyniak, Sebastian +2 more
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Toughness and Vertex Degrees [PDF]
Journal of Graph Theory, 2012 AbstractWe study theorems giving sufficient conditions on the vertex degrees of a graph G to guarantee G is t‐tough. We first give a best monotone theorem when , but then show that for any integer , a best monotone theorem for requires at least nonredundant conditions, where grows superpolynomially as .
Douglas Bauer +4 more
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The SLD vertex detector upgrade (VXD3) and a study of bbg events [PDF]
, 1998 This thesis was submitted for the degree of Doctor of Philosophy and awarded by Brunel University.This thesis presents a variety of work concerning the design, construction and use of the SLD's vertex detector.
Dervan, Paul John
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The complexity of degree anonymization by vertex addition [PDF]
Theoretical Computer Science, 2014 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Robert Bredereck +5 more
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Improved approximation algorithms for degree-bounded network design problems with node connectivity requirements [PDF]
, 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
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Estimation of vertex degrees in a sampled network [PDF]
2017 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
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Minimum 2SAT-DELETION: inapproximability results and relations to Minimum Vertex Cover [PDF]
, 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 +3 more
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, 2011 A graph that has a Smarandachely vertex-mean k-labeling is called Smarandachely k vertex-mean graph or Smarandachely k V -mean graph. Particularly, if k = 0, such a Smarandachely vertex-mean 0-labeling and Smarandachely 0 vertex-mean graph or ...
Lourdusamy, A., Seenivasan, M.
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