Hamilton cycles in Euler tour graph
β Scribed by Fu-Ji Zhang; Xiao-fong Guo
- Publisher
- Elsevier Science
- Year
- 1986
- Tongue
- English
- Weight
- 390 KB
- Volume
- 40
- Category
- Article
- ISSN
- 0095-8956
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
A variety of algebraic relationships between the various objects in the title are obtained. For example, if a graph embedded in the projective plane has only one left-right path, then the number of spanning trees in the graph and its geometric dual have different parities and its medial has an odd n
## UNIVERSIW OF WATERLOO ' The research reported here has been sponsored by the Canadian Commonwealth Association.
We consider the standard random geometric graph process in which n vertices are placed at random on the unit square and edges are sequentially added in increasing order of edge-length. For fixed k β₯ 1, we prove that the first edge in the process that creates a k-connected graph coincides a.a.s. with
We show that ff G is an Eulerian graph of minimum degree 2k, then G has a set S of k -2 Euler tours such that each pair of adjacent edges of G is consecutive in at most one tour of S. We conjecture that our bound of k -2 may be improved to 2k -2.