Results 31 to 40 of about 2,151,737 (304)

I/O efficient Core Graph Decomposition at web scale [PDF]

open access: yesIEEE International Conference on Data Engineering, 2015
Core decomposition is a fundamental graph problem with a large number of applications. Most existing approaches for core decomposition assume that the graph is kept in memory of a machine.
Dong Wen   +4 more
semanticscholar   +1 more source

Edge-partitioning graphs into regular and locally irregular components [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2016
A graph is locally irregular if every two adjacent vertices have distinct degrees. Recently, Baudon et al. introduced the notion of decomposition into locally irregular subgraphs.
Julien Bensmail, Brett Stevens
doaj   +1 more source

Large Scale Density-friendly Graph Decomposition via Convex Programming

open access: yesThe Web Conference, 2017
Algorithms for finding dense regions in an input graph have proved to be effective tools in graph mining and data analysis. Recently, Tatti and Gionis [WWW 2015] presented a novel graph decomposition (known as the locally-dense decomposition) that is ...
Maximilien Danisch   +2 more
semanticscholar   +1 more source

Structural Decomposition Model for the Evolution of AS-Level Internet Topologies

open access: yesIEEE Access, 2020
Modeling Internet graphs at the autonomous-system (AS) level is helpful for recognizing and predicting the development trend of evolving Internet topology from a macro perspective.
Bo Jiao, Wensheng Zhang
doaj   +1 more source

Automorphic Decompositions of Graphs

open access: yesGraphs and Combinatorics, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Beeler, Robert A., Jamison, Robert E.
openaire   +3 more sources

Graph Atomic Cluster Expansion for Semilocal Interactions beyond Equivariant Message Passing [PDF]

open access: yesPhysical Review X, 2023
The atomic cluster expansion provides local, complete basis functions that enable efficient parametrization of many-atom interactions. We extend the atomic cluster expansion to incorporate graph basis functions.
A. Bochkarev, Y. Lysogorskiy, R. Drautz
semanticscholar   +1 more source

Optimizing tree decompositions in MSO [PDF]

open access: yesLogical Methods in Computer Science, 2022
The classic algorithm of Bodlaender and Kloks [J. Algorithms, 1996] solves the following problem in linear fixed-parameter time: given a tree decomposition of a graph of (possibly suboptimal) width k, compute an optimum-width tree decomposition of the ...
Mikołaj Bojańczyk, Michał Pilipczuk
doaj   +1 more source

A C3 Magic Decomposition on Friendship Graph with Odd Order

open access: yesJurnal Ilmu Dasar, 2022
Let G = (V,E) is graph with a non-empty set V containing vertices and a set of edges E. Also note that if H = {H_i⊆G_i = 1,2,3,...,n} is a collection of subgraphs from G with H_i≅Hj,i ≠ j.
Indah Chairun Nisa   +2 more
doaj   +1 more source

Local Balance in Graph Decompositions [PDF]

open access: yesGraphs and Combinatorics, 2022
In a balanced graph decomposition, every vertex of the host graph appears in the same number of blocks. We propose the use of colored loops as a framework for unifying various other types of local balance conditions in graph decompositions. In the basic case where a single graph with colored loops is used as a block, an existence theory for such ...
Flora C. Bowditch, Peter J. Dukes
openaire   +2 more sources

Decomposition of complete graphs into connected unicyclic graphs with eight edges and pentagon

open access: yesIndonesian Journal of Combinatorics, 2019
A G-decomposition of the complete graph Kn is a family of pairwise edge disjoint subgraphs of Kn, all isomorphic to G, such that every edge of Kn belongs to exactly one copy of G.
Dalibor Froncek, O'Neill Kingston
doaj   +1 more source

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