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A note on maximal common subgraphs of the Dirac's family of graphs
Discussiones Mathematicae. Graph Theory, Tome 25 (2005) no. 3, pp. 385-390 Cet article a éte moissonné depuis la source Library of Science

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Let ⁿ be a given set of unlabeled simple graphs of order n. A maximal common subgraph of the graphs of the set ⁿ is a common subgraph F of order n of each member of ⁿ, that is not properly contained in any larger common subgraph of each member of ⁿ. By well-known Dirac's Theorem, the Dirac's family ⁿ of the graphs of order n and minimum degree δ ≥ [n/2] has a maximal common subgraph containing Cₙ. In this note we study the problem of determining all maximal common subgraphs of the Dirac's family ^2n for n ≥ 2.
Keywords: maximal common subgraph, Dirac's family, Hamiltonian cycle 
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Bucko, Jozef; Mihók, Peter; Saclé, Jean-François; Woźniak, Mariusz. A note on maximal common subgraphs of the Dirac's family of graphs. Discussiones Mathematicae. Graph Theory, Tome 25 (2005) no. 3, pp. 385-390. http://geodesic.mathdoc.fr/item/DMGT_2005_25_3_a14/

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