We construct infinitely many connected, circulant digraphs of outdegree three that have no Hamiltonian circuit. All of our examples have an even number of vertices, and our examples are of two types: either every vertex in the digraph is adjacent to two diametrically opposite vertices, or every vert
โฆ LIBER โฆ
Characterization of c-circulant digraphs of degree two which are circulant
โ Scribed by J.M. Brunat; M. Maureso; M. Mora
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 796 KB
- Volume
- 165-166
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
โฆ Synopsis
A c-circulant digraph G,(c, A) has Z,V as its vertex set and adjacency rules given by .X + cs + a with a E A c Z,. The c-circulant digraphs of degree two which are isomorphic to some circulant digraph are characterized, and the corresponding isomorphism is given. Moreover. a sufficient condition is obtained for a c-circulant digraph to be a Cayley digraph.
๐ SIMILAR VOLUMES
On non-Hamiltonian circulant digraphs of
โ
Locke, Stephen C.; Witte, Dave
๐
Article
๐
1999
๐
John Wiley and Sons
๐
English
โ 136 KB
Fast computation of two-level circulant
โ
C. van der Mee; G. Rodriguez; S. Seatzu
๐
Article
๐
2006
๐
Springer US
๐
English
โ 510 KB
Are two modes of thermohaline circulatio
โ
BY SYUKURO MANABE; RONALD J. STOUFFER
๐
Article
๐
1999
๐
John Wiley and Sons
๐
English
โ 337 KB
Flows in circulant graphs of odd order a
โ
Stephen C. Locke; Dave Witte
๐
Article
๐
1989
๐
Elsevier Science
๐
English
โ 889 KB
We show any flow in any connected circulant graph of odd order can be expressed as a sum of Hamilton cycles.
Characterization of the inverse of a par
โ
C. Marrazzini
๐
Article
๐
1980
๐
Elsevier Science
๐
English
โ 303 KB
Characterization of instabilities during
โ
F. D'Auria; G.M. Galassi
๐
Article
๐
1990
๐
Elsevier Science
๐
English
โ 859 KB