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A characterization of hypercubes

✍ Scribed by S. Foldes


Publisher
Elsevier Science
Year
1977
Tongue
English
Weight
306 KB
Volume
17
Category
Article
ISSN
0012-365X

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πŸ“œ SIMILAR VOLUMES


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✍ Jean-Marie Laborde; Surya Prakash Rao Hebbare πŸ“‚ Article πŸ“… 1982 πŸ› Elsevier Science 🌐 English βš– 547 KB

Nous montrons que dans la classe des graphes connexes tels ;lue deux a&es incidentes quelconques appartiennent a un et un seul quadrilatere, les hypercrtbes finis sont les graphes de degre minimum n lini et possedant 2" sommets. The fol!owing theorem' is proved: Let % be the class of connected grap

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## Communicated by A. Tucker Abstract--Complemented graphs are a direct generalization of hypercubes as well as a special class of prime convex intersection graphs. The n-tuple representation of points of a hypercube Qn is extended to prime convex intersection graphs.

Spanning caterpillars of a hypercube
✍ Dvo?οΏ½k, TomοΏ½?k; Havel, Ivan; Laborde, Jean-Marie; Mollard, Michel πŸ“‚ Article πŸ“… 1997 πŸ› John Wiley and Sons 🌐 English βš– 184 KB

Spanning trees of the hypercube Q n have been recently studied by several authors. In this paper, we construct spanning trees of Q n which are caterpillars and establish quantitative bounds for a caterpillar to span Q n . As a corollary, we disprove a conjecture of Harary and Lewinter on the length