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Graph Decompositions and Factorizing Permutations [PDF]
Discrete Mathematics & Theoretical Computer Science, 2002 A factorizing permutation of a given graph is simply a permutation of the vertices in which all decomposition sets appear to be factors. Such a concept seems to play a central role in recent papers dealing with graph decomposition. It is applied here for
Christian Capelle +2 more
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Toeplitz graph decomposition [PDF]
Transactions 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
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Decompositions of Cubic Traceable Graphs
Discussiones Mathematicae Graph Theory, 2020 A traceable graph is a graph with a Hamilton path. The 3-Decomposition Conjecture states that every connected cubic graph can be decomposed into a spanning tree, a 2-regular graph and a matching. We prove the conjecture for cubic traceable graphs.
Liu Wenzhong, Li Panpan
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Density-Friendly Graph Decomposition [PDF]
ACM Transactions on Knowledge Discovery from Data, 2019 Decomposing a graph into a hierarchical structure via k -core analysis is a standard operation in any modern graph-mining toolkit. k -core decomposition is a simple and efficient method that allows to analyze a graph beyond its mere degree distribution.
Tatti Nikolaj, Tatti Nikolaj
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Knowledge Graph Reasoning Based on Tensor Decomposition and MHRP-Learning
Advances in Multimedia, 2021 In the process of learning and reasoning knowledge graph, the existing tensor decomposition technology only considers the direct relationship between entities in knowledge graph. However, it ignores the characteristics of the graph structure of knowledge
Tangsen Huang +3 more
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An Efficient Subgraph Isomorphism Solver for Large Graphs
IEEE Access, 2021 For a given pair of pattern and data graphs, the subgraph isomorphism finding problem locates all instances of the pattern graph into the data graph. For a given subgraph isomorphic image of the pattern graph in a data graph, the set of all ordered pairs
Zubair Ali Ansari +2 more
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Eulerian Cycle Decomposition Conjecture for the line graph of complete graphs
AKCE International Journal of Graphs and Combinatorics, 2019 The Eulerian Cycle Decomposition Conjecture, by Chartrand, Jordon and Zhang, states that if the minimum number of odd cycles in a cycle decomposition of an Eulerian graph G of size m is a, the maximum number of odd cycles in such a cycle decomposition is
R. Rajarajachozhan, R. Sampathkumar
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Constrained ear decompositions in graphs and digraphs [PDF]
Discrete Mathematics & Theoretical Computer Science, 2019 Ear decompositions of graphs are a standard concept related to several major problems in graph theory like the Traveling Salesman Problem. For example, the Hamiltonian Cycle Problem, which is notoriously N P-complete, is equivalent to deciding whether a ...
Frédéric Havet, Nicolas Nisse
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Capturing Polynomial Time using Modular Decomposition [PDF]
Logical Methods in Computer Science, 2019 The question of whether there is a logic that captures polynomial time is one of the main open problems in descriptive complexity theory and database theory.
Berit Grußien
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Method of Service Decomposition Based on Microservice Architecture [PDF]
Jisuanji 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
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