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The Vertex Degree Distribution of Passive Random Intersection Graph Models
Combinatorics, Probability and Computing, 2008In a random passive intersection graph model the edges of the graph are decided by taking the union of a fixed number of cliques of random size. We give conditions for a random passive intersection graph model to have a limiting vertex degree distribution, in particular to have a Poisson limiting vertex degree distribution.
Jaworski, Jerzy, Stark, Dudley
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On the vertex degree function of graphs
Computational and Applied MathematicszbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Parameterized VERTEX COVER in Graphs of Small Degree
2009 WRI World Congress on Computer Science and Information Engineering, 2009We describe a new approach to improve algorithms for solving the k-Vertex Cover problem, that complements the state-of-the-art kernelization techniques based on solving maximum-flow instances. Our algorithm applies to graphs of small bounded degree, adapts existing k-vertex cover machinery, and incurs no additional complexity.
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The vertex degree distribution of random intersection graphs
Random Structures & Algorithms, 2004AbstractRandom intersection graphs are a model of random graphs in which each vertex is assigned a subset of a set of objects independently and two vertices are adjacent if their assigned subsets are not disjoint. The number of vertices is denoted by n and the number of objects is supposed to be ⌊nα⌋ for some α > 0.
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Open problems on the exponential vertex-degree-based topological indices of graphs
Discrete Applied Mathematics, 2021Kinkar C Das, Suresh Elumalai
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Extremal Graphs to Vertex Degree Function Index for Convex Functions
Axioms, 2023Dong He, Chenxu Yang, Kinkar C Das
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ON THE VERTEX DEGREE POLYNOMIAL OF GRAPHS
2020Mohammed, Hanan Ahmed Ali +1 more
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Extremal vertex-degree function index for trees and unicyclic graphs with given independence number
Discrete Applied Mathematics, 2022Ioan Tomescu
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Minimum vertex degree conditions for loose Hamilton cycles in 3-uniform hypergraphs
Journal of Combinatorial Theory Series B, 2013Hiep Han, Mathias Schacht
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