A Reduction of the Graph Reconstruction Conjecture
S. Monikandan ; J. Balakumar
Discussiones Mathematicae Graph Theory, Tome 34 (2014), p. 529-537 / Harvested from The Polish Digital Mathematics Library
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A graph is said to be reconstructible if it is determined up to isomor- phism from the collection of all its one-vertex deleted unlabeled subgraphs. Reconstruction Conjecture (RC) asserts that all graphs on at least three vertices are reconstructible. In this paper, we prove that interval-regular graphs and some new classes of graphs are reconstructible and show that RC is true if and only if all non-geodetic and non-interval-regular blocks G with diam(G) = 2 or diam(Ḡ) = diam(G) = 3 are reconstructible

Publié le : 2014-01-01
EUDML-ID : urn:eudml:doc:268082 
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S. Monikandan; J. Balakumar. A Reduction of the Graph Reconstruction Conjecture. Discussiones Mathematicae Graph Theory, Tome 34 (2014) pp. 529-537. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_7151_dmgt_1746/

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