JGT
2007
13 years 4 months ago
2007
: Let G be a graph with maximum degree d ≥ 3 and ω(G) ≤ d, where ω(G) is the clique number of the graph G. Let p1 and p2 be two positive integers such that d = p1 + p2. In th...
JCT
2007
13 years 4 months ago
2007
We show that for each ε > 0 and each integer ∆ ≥ 1, there exists a number g such that for any graph G of maximum degree ∆ and girth at least g, the circular chromatic in...
ENDM
2007
13 years 4 months ago
2007
In 1977, Wegner conjectured that the chromatic number of the square of every planar graph G with maximum degree ∆ ≥ 8 is at most 3
JGT
2008
13 years 4 months ago
2008
A spanning subgraph G of a graph H is a k-detour subgraph of H if for each pair of vertices x, y V (H), the distance, distG(x, y), between x and y in G exceeds that in H by at mo...
JCT
2008
13 years 4 months ago
2008
Chv
COMBINATORICA
2007
13 years 4 months ago
2007
We derive a sufficient condition for a sparse graph G on n vertices to contain a copy of a tree T of maximum degree at most d on (1 − )n vertices, in terms of the expansion prop...
DM
2006
13 years 4 months ago
2006
An L(h, k)-labeling of a graph G is an integer labeling of vertices of G, such that adjacent vertices have labels which differ by at least h, and vertices at distance two have lab...
CORR
2006
Springer
13 years 4 months ago
2006
Springer
Fischer proposes in [4] a sequential algorithm to compute a minimum weight spanning tree of maximum degree at most b + logb n in time O n4+1/ln b for any constant b > 1, where ...
COMBINATORICS
2006
13 years 4 months ago
2006
It is proved that, if G is a K4-minor-free graph with maximum degree 3, then G is totally 4-choosable; that is, if every element (vertex or edge) of G is assigned a list of 4 colo...
COMBINATORICS
2006
13 years 4 months ago
2006
It is proved that, if G is a K4-minor-free graph with maximum degree 4, then G is totally ( + 1)-choosable; that is, if every element (vertex or edge) of G is assigned a list of ...