Results 21 to 30 of about 55,019 (192)
Discrete Mathematics, 1993 This note is concerned with a question on the maximum possible \(s\) such that an arbitrary graph or hypergraph \(G\) contains a pair of edge disjoint isomorphic subgraphs of size \(s\). The authors investigate this question in the case of 3-uniform hypergraphs.
Ronald J. Gould, Vojtech Rödl
openaire +1 more source
Recursive-Parallel Algorithm for Solving the Graph-Subgraph Isomorphism Problem
Моделирование и анализ информационных систем, 2022 The paper proposes a parallel algorithm for solving the Graph-Subgraph Isomorphism Problem and makes an experimental study of its efficiency. The problem is one of the most famous NP-complete problems.
Vladimir V. Vasilchikov
doaj +1 more source
The Hardness of Subgraph Isomorphism
CoRR, 2015 Subgraph Isomorphism is a very basic graph problem, where given two graphs $G$ and $H$ one is to check whether $G$ is a subgraph of $H$. Despite its simple definition, the Subgraph Isomorphism problem turns out to be very broad, as it generalizes problems such as Clique, $r$-Coloring, Hamiltonicity, Set Packing and Bandwidth.
Marek Cygan +2 more
openaire +2 more sources
An Optimization of Closed Frequent Subgraph Mining Algorithm
Cybernetics and Information Technologies, 2017 Graph mining isamajor area of interest within the field of data mining in recent years. Akey aspect of graph mining is frequent subgraph mining. Central to the entire discipline of frequent subgraph mining is the concept of subgraph isomorphism.
Demetrovics J. +3 more
doaj +1 more source
SING: Subgraph search In Non-homogeneous Graphs
BMC Bioinformatics, 2010 Background Finding the subgraphs of a graph database that are isomorphic to a given query graph has practical applications in several fields, from cheminformatics to image understanding.
Pulvirenti Alfredo +5 more
doaj +1 more source
Research on the Top-Down Parsing Method for Context-Sensitive Graph Grammars. [PDF]
PLoS ONE, 2015 The parsing problem is one of the key problems of graph grammars. The typical parsing algorithm uses the bottom-up method. The time-complexity of this method is high, and it is difficult to apply.
Yi Wang, XiaoQin Zeng, Han Ding
doaj +1 more source
On Minimal Unique Induced Subgraph Queries
Applied Sciences, 2018 In this paper, a novel type of interesting subgraph query is proposed: Minimal Unique Induced Subgraph (MUIS) query. Given a (large) graph G and a query vertex (position) q in the graph, can we find an induced subgraph containing q with the minimal ...
Lincheng Jiang +6 more
doaj +1 more source
Computing and Drawing Isomorphic Subgraphs
Journal of Graph Algorithms and Applications, 2004 Summary: The isomorphic subgraph problem is finding two disjoint subgraphs of a graph which coincide on at least \(k\) edges. The graph is partitioned into a subgraph, its copy, and a remainder. The problem resembles the NP-hard largest common subgraph problem, which searches copies of a graph in a pair of graphs.
Sabine Bachl +2 more
openaire +2 more sources
Capturing Topology in Graph Pattern Matching [PDF]
, 2011 Graph pattern matching is often defined in terms of subgraph isomorphism, an np-complete problem. To lower its complexity, various extensions of graph simulation have been considered instead.
Huai, Jinpeng +9 more
core +1 more source
The search for minimal edge 1-extension of an undirected colored graph [PDF]
Известия Саратовского университета. Новая серия: Математика. Механика. Информатика, 2021 Let $G=(V, \alpha, f)$ be a colored graph with a coloring function $f$ defined on its vertices set $V$. Colored graph $G^*$ is an edge $1$-extension of a colored graph $G$ if $G$ could be included into each subgraph taking into consideration the colors ...
Razumovsky, Peter Vladimirovich
doaj +1 more source