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On the cycle‐isomorphism of graphs

Journal of Graph Theory, 1991
AbstractThis paper considers conditions ensuring that cycle‐isomorphic graphs are isomorphic. Graphs of connectivity ⩾ 2 that have no loops were studied in [2] and [4]. Here we characterize all graphs G of connectivity 1 such that every graph that is cycle‐isomorphic to G is also isomorphic to G.
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Isomorphisms ofP3-graphs

Journal of Graph Theory, 1996
Let \(\Pi_k(G)\) denote the set of all paths on \(k\) vertices of a connected simple graph \(G\). Then the \((k- 1)\)-path graph \(P_k(G)\) of \(G\) has vertex set \(\Pi_k(G)\) and edges joining pairs of vertices that represent two \(P_k\)-paths whose union forms either a path \(P_{k+ 1}\) or a cycle \(C_k\).
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An Invariant of the Graph Isomorphism

2008 IEEE Pacific-Asia Workshop on Computational Intelligence and Industrial Application, 2008
The adjacent matrix is defined in this paper for a given graph, and the deformation called dual congruent act on the matrix is discussed. We have shown that any two graphs are isomorphic each other if and only if they having the dual congruent adjacent matrices. So the adjacent matrix of graph is a isomorphic invariants for graph theory.
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On Isomorphisms of Marušič–Scapellato Graphs

Graphs and Combinatorics, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Efficient Suboptimal Graph Isomorphism

2009
In the field of structural pattern recognition, graphs provide us with a common and powerful way to represent objects. Yet, one of the main drawbacks of graph representation is that the computation of standard graph similarity measures is exponential in the number of involved nodes. Hence, such computations are feasible for small graphs only.
Kaspar Riesen   +3 more
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Isomorphisms of \(P_ 4\)-graphs

Australas. J Comb., 1997
The \(P_4\)-graph \(P_4(G)\) of a graph \(G\) has all paths on four vertices of \(G\) as its vertices, and two such paths \(P \not= Q\) are adjacent in \(P_4(G)\) if \(P \cup Q\) forms a path on five vertices or a 4-cycle in \(G\). The authors prove the following: (1) If \(G\) and \(H\) are connected graphs with minimum degree at least 3 in which no ...
Xueliang Li 0001, Biao Zhao
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Note on Isomorphisms of Graphs

Journal of the London Mathematical Society, 1967
Halin, R., Jung, H. A.
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Graphs with Isomorphic Subgraphs

Journal of the London Mathematical Society, 1972
Radjavi, Heydar, Rosenthal, Peter
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A (sub)graph isomorphism algorithm for matching large graphs

IEEE Transactions on Pattern Analysis and Machine Intelligence, 2004
Mario Vento   +2 more
exaly  

Practical graph isomorphism, II

Journal of Symbolic Computation, 2014
Brendan McKay
exaly  

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