Results 11 to 20 of about 58,065 (305)

Toeplitz graph decomposition [PDF]

open access: yesTransactions on Combinatorics, 2012
Let $n,t_1,...,t_k$ be distinct positive integers. A Toeplitz graph $G=(V, E)$ denoted by $T_n$ is a graph, where $V ={1,...,n}$ and $E= {(i,j) : |i-j| in {t_1,...,t_k}}$.In this paper, we present some results on decomposition of Toeplitz graphs.
Samira Hossein Ghorban
doaj   +1 more source

Graph decomposition

open access: yesLe Matematiche, 1990
This paper surveys some recent results and new techniques concerning edge-disjoint decompositions of Kn into copies of G, where G may be a cycle, a path, or just a small graph.
Chris A. Rodger
doaj   +1 more source

Unifying Two Graph Decompositions with Modular Decomposition [PDF]

open access: yes, 2007
Soumis \`a ISAAC ...
Bui-Xuan, Binh-Minh   +3 more
openaire   +6 more sources

A Heuristic for Direct Product Graph Decomposition [PDF]

open access: yes, 2023
In this paper we describe a heuristic for decomposing a directed graph into factors according to the direct product (also known as Kronecker, cardinal or tensor product). Given a directed, unweighted graph G with adjacency matrix Adj(G), our heuristic
Moreno Marzolla   +2 more
core   +1 more source

Method of Service Decomposition Based on Microservice Architecture [PDF]

open access: yesJisuanji kexue, 2021
The microservice decomposition of the monolithic system can effectively alleviate the problems of system redundancy and difficulty in maintenance of the monolithic architecture.However,the existing microservice decomposition methods fail to make full use
JIANG Zheng, WANG Jun-li, CAO Rui-hao, YAN Chun-gang
doaj   +1 more source

The monadic second-order logic of graphs XVI : Canonical graph decompositions [PDF]

open access: yesLogical Methods in Computer Science, 2006
This article establishes that the split decomposition of graphs introduced by Cunnigham, is definable in Monadic Second-Order Logic.This result is actually an instance of a more general result covering canonical graph decompositions like the modular ...
Bruno Courcelle
doaj   +1 more source

A Variation of Decomposition Under a Length Constraint [PDF]

open access: yes, 2011
Introducing and initiating a study of a new variation of decomposition namely equiparity induced path decomposition of a graph which is defined to be a decomposition in which all the members are induced paths having same ...
Joseph, Mayamma   +3 more
core   +1 more source

Decomposition of complete graphs into small graphs [PDF]

open access: yesOpuscula Mathematica, 2010
In 1967, A. Rosa proved that if a bipartite graph \(G\) with \(n\) edges has an \(\alpha\)-labeling, then for any positive integer \(p\) the complete graph \(K_{2np+1}\) can be cyclically decomposed into copies of \(G\).
Dalibor Froncek
doaj   +1 more source

Note on decompositions based on the vertex-removing synchronised graph product

open access: yesElectronic Journal of Graph Theory and Applications, 2022
Recently, we have introduced two graph-decomposition theorems based on a new graph product, motivated by applications in the context of synchronising periodic real-time processes. This vertex-removing synchronised product (VRSP) is based on modifications
Antoon Hendrik Boode
doaj   +1 more source

Decomposition of product graphs into paths and stars on five vertices

open access: yesAKCE International Journal of Graphs and Combinatorics, 2020
Let Sk and Kk respectively denote a path, a star and a complete graph on k vertices. By a -decomposition of a graph G, we mean a decomposition of G into r copies of and s copies of In this paper, it shown that the graph admits a -decomposition if and ...
M. Ilayaraja   +2 more
doaj   +1 more source

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