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The graph isomorphism problem

Solving Graph Isomorphism Problem for a Special case

Solving Graph Isomorphism Problem for a Special case

... theory, graph isomorphism problem raph theory, graph isomorphism problem g ...NTRODUCTION Graph is a popular data structure and it can be used in many complex real world ...

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A Zero-Knowledge Proof Based on a Multivariate Polynomial Reduction of the Graph Isomorphism Problem

A Zero-Knowledge Proof Based on a Multivariate Polynomial Reduction of the Graph Isomorphism Problem

... the Graph Isomorphism problem (GI), where a prover must convince the verifier that he knows an isomorphism between two isomorphic graphs without publishing the ...NP-hard problem of ...

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Towards A Promising Edge Classification Algorithm for the Graph Isomorphism Problem

Towards A Promising Edge Classification Algorithm for the Graph Isomorphism Problem

... GI problem is extremely relevant in theoretical computer ...GI problem is rather in the class P will be ...one graph and classifies the edges according to their distance from that vertex ...input ...

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A Practical Graph Isomorphism Algorithm with Vertex Canonical Labeling

A Practical Graph Isomorphism Algorithm with Vertex Canonical Labeling

... Zhifeng Hao Faculty of Computer, Guangdong University of Technology, Guangzhou 510006, China Email: [email protected] Abstract—The vertex canonical labeling technique is one of the powerful methods in solving the ...

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The Isomorphism Problem for Planar 3-Connected Graphs is in Unambiguous Logspace

The Isomorphism Problem for Planar 3-Connected Graphs is in Unambiguous Logspace

... 3-connected graph isomorphism ...the isomorphism test to arbitrary planar graphs. If the graph is not connected, we can compute the connected components and consider them ...the graph ...

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Structural Clustering Multimedia Documents: An Approach based on Semantic Sub graph Isomorphism

Structural Clustering Multimedia Documents: An Approach based on Semantic Sub graph Isomorphism

... exploited graph theory could be of great interest concerning the evaluation of similarity between these documents, both in documentary classification and the information ...sub- graph isomorphism ...

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Graph-Theoretic  Algorithms  for  the  ``Isomorphism  of  Polynomials''  Problem

Graph-Theoretic Algorithms for the ``Isomorphism of Polynomials'' Problem

... polynomial” problem, which was underlying the hardness of recovering the secret-key in some multivariate trapdoor one-way ...this problem, the adversary is given two quadratic functions, with the promise ...

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Subgraph isomorphism in graph classes

Subgraph isomorphism in graph classes

... isomorphism problem. Damaschke [ 7 ] showed that Induced Subgraph Isomorphism on cographs is ...Subgraph Isomorphism is NP-complete for graph classes that include the disjoint unions of ...

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An Isomorphism Problem in Z^2

An Isomorphism Problem in Z^2

... vertices being adjacent if and only if they are a Euclidean distance d apart. We denote by χ(X, d) and k(X, d) the chromatic number of G(X, d) and number of components of G(X, d) respectively. If a given graph ...

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Investigations in quantum computing: causality and graph isomorphism

Investigations in quantum computing: causality and graph isomorphism

... ticular problem can be solved at ...particular problem is to solve (assuming that it has been found to be computable); that is, how much of various limited compu- tational resources must be applied to solve ...

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A Performance Comparison of Five Algorithms for Graph Isomorphism

A Performance Comparison of Five Algorithms for Graph Isomorphism

... 2. Algorithms for Benchmarking This first benchmarking activity has been carried out on those exact matching algorithms that do not impose particular restrictions on the structure of the input graphs. This category ...

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An In-depth Comparison of Subgraph Isomorphism Algorithms in Graph Databases

An In-depth Comparison of Subgraph Isomorphism Algorithms in Graph Databases

... Although there is no single winner for all experiments, to our surprise, QuickSI, the algorithm designed for han- dling small graphs, performs the best for many queries for both small and large data graphs (the AIDS and ...

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Deciding circular-arc graph isomorphism in parameterized logspace

Deciding circular-arc graph isomorphism in parameterized logspace

... the problem of computing a canonical CA representation for CA graphs to the problem of computing a candidate function for CA ...two graph classes that partition all CA ...CA graph G is in C or ...

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Approximate Sub-Graph Isomorphism For Watermarking Finite State Machine Hardware

Approximate Sub-Graph Isomorphism For Watermarking Finite State Machine Hardware

... the problem of watermarking sequential circuits focuses on the FSM ...directed graph representation of the watermark bit-stream and then attempt to find a best-case sub graph match in the directed ...

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A large database of graphs and its use for benchmarking graph isomorphism algorithms

A large database of graphs and its use for benchmarking graph isomorphism algorithms

... If the two graphs being compared are not iso- morphic, Ullmann’s algorithm shows a quite sin- gular behavior: for most of the cases, it is able to stop the search very early, requiring a time that is considerably lower ...

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ISOMORPHISM IN PLANAR KINEMATIC CHAINS-A CASE STUDY IN GRAPH THEORY ALGORITHM

ISOMORPHISM IN PLANAR KINEMATIC CHAINS-A CASE STUDY IN GRAPH THEORY ALGORITHM

... Keywords: Kinematic chain, Isomorphism, Net distance, Graph I. INTRODUCTION In the structural synthesis of planar kinematic chains, detection of isomorphism is a critical area to be studied. Various ...

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The isomorphism problem for directed acyclic graphs: an application to multivector fields

The isomorphism problem for directed acyclic graphs: an application to multivector fields

... the graph G 1 (s 0 ) and on the right the graph G 2 (s 0 ) As we saw, the final matching is created adding matched nodes to a partial ...an isomorphism it is necessary that the partial mappings are ...

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New  Insight  into  the  Isomorphism  of  Polynomials  problem  IP1S   and  its  Use  in  Cryptography

New Insight into the Isomorphism of Polynomials problem IP1S and its Use in Cryptography

... 4. Charles Bouillaguet, Pierre-Alain Fouque, and Amandine V´ eber. Graph-theoretic algorithms for the ”isomorphism of polynomials” problem. IACR Cryptology ePrint Archive, 2012:607, 2012. 5. Dario ...

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Practical  Cryptanalysis  of  the  Identification  Scheme  Based  on  the  Isomorphism  of  Polynomial  with  One  Secret  Problem

Practical Cryptanalysis of the Identification Scheme Based on the Isomorphism of Polynomial with One Secret Problem

... for Graph-Isomorphism (a fact that would be quite ...IP1S problem is in this respect quite similar to that of GI: heuristics are capable of dealing efficiently with the random case, while some very ...

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Relaxations of Graph Isomorphism

Relaxations of Graph Isomorphism

... quantum isomorphism can be reformulated as feasibility programs over the completely positive and completely positive semidefinite cones ...(quantum) isomorphism arrived at by relaxing the cone to either the ...

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