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一种构造k—色临界图的方法
One Means of Constructing K-Chromatically Critical Graphs
【摘要】 图G的色数χ(G)是指对图G进行着色并使相邻顶点具有不同颜色的最少颜色数,若对G的任意真子图H有χ(H)<χ(G)=k,则称G是k—色临界的,因此可以给出一种构造k—色临界图的方法。
【Abstract】 The chromatic number χ(G) of graph G is the least color number k if its vertices can be colored with k colors so that no two adjacent vertices have the same color.G is said to be k-critical graph if χ(H)<χ(G)=k for every proper subgraph H of G.In this paper,one means of constructing k-chromatically critical graphs is gived.
【基金】 国家自然科学基金资助项目(60672026);陕西省自然科学基金资助项目(2006A12)
- 【文献出处】 廊坊师范学院学报(自然科学版) ,Journal of Langfang Teachers College(Natural Science Edition) , 编辑部邮箱 ,2009年03期
- 【分类号】O157.5
- 【下载频次】39