13 search results - page 1 / 3 » Up-Embeddability of a Graph by Order and Girth |
GC
2007
Springer
13 years 4 months ago
2007
Springer
Let G be a connected graph of order n and girth g. If dG(u) + dG(v) ≥ n − 2g + 5 for any two non-adjacent vertices u and v, then G is up-embeddable. Further more, the lower bou...
ISSAC
2007
Springer
13 years 11 months ago
2007
Springer
Constructing some regular graph with a given girth, a given degree and the fewest possible vertices is a hard problem. This problem is called the cage graph problem and has some l...
COMBINATORICS
2002
13 years 4 months ago
2002
We shall prove that for all 3 and > 0 there exists a sparse oriented graph of arbitrarily large order with oriented girth and such that any 1/2 + proportion of its arcs induc...
GC
2008
Springer
13 years 5 months ago
2008
Springer
We prove that for graphs of order n, minimum degree 2 and girth g 5 the domination number satisfies 1 3 + 2 3g n. As a corollary this implies that for cubic graphs of order n ...
SIAMDM
2000
13 years 4 months ago
2000
We establish that every cyclically 4-connected cubic planar graph of order at most 40 is hamiltonian. Furthermore, this bound is determined to be sharp and we present all nonhamil...