关于删除若干C-超边的完全一致混合超图色数的几个结论  被引量:3

Some Results on Chromatic Number of Uniform mixed Hypergraphs Obtained by Deleting Some C-hyperedges from a Complete Uniform Mixed Hypergraphs

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作  者:郑国彪[1] 

机构地区:[1]青海民族学院学院编辑部,青海西宁810007

出  处:《青海师专学报》2008年第5期12-15,共4页Journal of Qinghai Junior Teachers' College

摘  要:混合超图的上、下色数与C-超边和D-超边数有着必然联系.一般地,增加C-超边会使下色数χ(H)增加,增加D-超边会使上色数-χ(H)减小.本论文以完全混合超图为例,进一步揭示C-超边数与上、下色数之间的关系,给出了完全一致混合超图κ(n,l,m)=(X,(Xl),(X在删除若干C-超边后其上、下色数的若干结论.The upper chromatic number and lower chromatic number of mixed hypergraphs closely relacted with its C - hyperedgos and D -hyperedges. In general,adding one C -edges to can increase χ(£) and adding one D-edge can decrease ^-χ(£) ,where is a mixed hypergraph,χ(£) is the lower chromatic number and ^-χ(£) is the upper chromatic number of £. In this artical ,taking complete mixed hypergraphs as a example, further uncome the relation of that between the number of C - byperedges and D-hyperedges in £ and chromatic number of £, and give some results on upper chromatic unmber and lower chromatic number of uniform mixed hypergraphs £^1= ( X, (X/l)-C0, (X/m) ), obtained by deleting some C - hyperedges from complete uniform mixed hypergraphs = (X,(X/l),(X/m)), where Co is a subset of C.

关 键 词:完全一致混合超图 上色数 下色数 

分 类 号:O157.6[理学—数学]

 

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