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Graphs with one isomorphism class of spanning unicyclic graphs

โœ Scribed by Preben D. Vestergaard


Publisher
Elsevier Science
Year
1988
Tongue
English
Weight
647 KB
Volume
70
Category
Article
ISSN
0012-365X

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๐Ÿ“œ SIMILAR VOLUMES


Isomorphism classes of cycle permutation
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In this paper, we construct a cycle permutation graph as a covering graph over the dumbbell graph, and give a new characterization of when two given cycle permutation graphs are isomorphic by a positive or a negative natural isomorphism. Also, we count the isomorphism classes of cycle permutation gr

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## Abstract A graph has the neighborโ€closedโ€coโ€neighbor, or ncc property, if for each of its vertices __x__, the subgraph induced by the neighbor set of __x__ is isomorphic to the subgraph induced by the closed nonโ€neighbor set of __x__. As proved by Bonato and Nowakowski [5], graphs with the ncc p

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We give necessary and sufficient conditions for a distance matrix to have a unicycfic graph as unique optimal graph realization.

Enumeration of weak isomorphism classes
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## Abstract A signed graph is a graph in which each line has a plus or minus sign. Two signed graphs are said to be weakly isomorphic if their underlying graphs are isomorphic through a mapping under which signs of cycles are preserved, the sign of a cycle being the product of the signs of its line

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## Abstract We investigate the conjecture that every circulant graph __X__ admits a __k__โ€isofactorization for every __k__ dividing |__E__(__X__)|. We obtain partial results with an emphasis on small values of __k__. ยฉ 2006 Wiley Periodicals, Inc. J Combin Designs 14: 406โ€“414, 2006