Geodesic
The characterization of hereditary unigraphs on the canonical decomposition theory base
Trudy Instituta matematiki, Tome 20 (2012) no. 2, pp. 93-102.

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Considered the class of hereditary unigraphs. A graph determined up to isomorphism by its degree sequence is called a unigraph. A graph is called a hereditary unigraph if all its vertex induced subgraphs is a unigraphs. It is known that not all unigraphs are hereditary. It this paper the characterization of hereditary unigraphs on the canonical decomposition base is performed and a scheme of a linear algorithm that recognizes the property "to be a hereditary unigraph" is proposed. 
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R. A. Petrovich. The characterization of hereditary unigraphs on the canonical decomposition theory base. Trudy Instituta matematiki, Tome 20 (2012) no. 2, pp. 93-102. http://geodesic.mathdoc.fr/item/TIMB_2012_20_2_a9/

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