Mesothelioma multi-disciplinary team meeting – effects on quality of care
- 作者：J. Duckers ; S. Williams ; J.F. Lester ; E. Butchart ; A. Gibbs ; M. Crane ; S.J. Linnane
- 关键词：Dominating functions ; k-Tuple domination ; none ; color ; black" href="/science?_ob=MathURL&_method=retrieve&_udi=B6V00-4PT2FT3-1&_mathId=mml159&_user=1067359&_cdi=5632&_rdoc=15&_acct=C000050221&_version=1
- 刊名：Lung Cancer
- 出版年：2008
- 期刊代码：187_01695002
- 类别：med
- 出版时间：April 2008
- 卷：60
- 期：Supplement 1
- 页码：S6-S7
- 文件大小：49 K
摘要
Let Y be a subset of real numbers. A Y-dominating function of a graph G=(V,E) is a function f:V→Y such that 
for all vertices v
V, where NG[v]={v}
{u|(u,v)E}. Let 
for any subset S of V and let f(V) be the weight of f. The Y-domination problem is to find a Y-dominating function of minimum weight for a graph G=(V,E). In this paper, we study the variations of Y-domination such as {k}-domination, k-tuple domination, signed domination, and minus domination for some classes of graphs. We give formulas to compute the {k}-domination, k-tuple domination, signed domination, and minus domination numbers of paths, cycles, n-fans, n-wheels, n-pans, and n-suns. Besides, we present a unified approach to these four problems on strongly chordal graphs. Notice that trees, block graphs, interval graphs, and directed path graphs are subclasses of strongly chordal graphs. This paper also gives complexity results for the problems on doubly chordal graphs, dually chordal graphs, bipartite planar graphs, chordal bipartite graphs, and planar graphs.
V, where NG[v]={v}{u|(u,v)E}. Let