469 search results - page 2 / 94 » On the least size of a graph with a given degree set |
RSA
2010
13 years 3 months ago
2010
We show that the number of vertices of a given degree k in several kinds of series-parallel labelled graphs of size n satisfy a central limit theorem with mean and variance proport...
GC
2008
Springer
13 years 5 months ago
2008
Springer
For a directed graph G without loops or parallel edges, let (G) denote the size of the smallest feedback arc set, i.e., the smallest subset X E(G) such that G \ X has no directed...
IPL
2010
13 years 3 months ago
2010
We show that any face hitting set of size n of a connected planar graph with a minimum degree of at least 3 is contained in a connected subgraph of size 5n − 6. Furthermore we s...
DM
2008
13 years 5 months ago
2008
We prove that a K4-free graph G of order n, size m and maximum degree at most three has an independent set of cardinality at least 1 7 (4n - m - - tr) where counts the number of c...
COMBINATORICS
1999
13 years 5 months ago
1999
![A [k, k+1]-Factor Containing A Given Hamiltonian Cycle](https://www.sciweavers.org/files/imagecache/thumbnail/imagecache/a_k_k_1_factor_containing_a_given_hamiltonian_cycle_COMBINATORICS_1999.jpg "A [k, k+1]-Factor Containing A Given Hamiltonian Cycle")
We prove the following best possible result. Let k 2 be an integer and G be a graph of order n with minimum degree at least k. Assume n 8k - 16 for even n and n 6k-13 for odd n...