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期刊论文

λ-packings andλ-coverings by Graphs With Six Vertices and Seven Edges

康庆德DU Yanke * KANG Qingde

数学进展,2009,38(1): 35-43,-0001,():

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摘要/描述

Let λkv, be the complete multigraph with vvertices and G a finite simple graph.A G-design ( G-packing design, G-covering design) ofλkv, denoted by (v, G, λ)-GD(v, G,λ)-PD, (v, G, λ)-CD), is a pair (X, B) where X is the vertex set of Kv, and B is a collection of subgraphs of Kv, called blocks, such that each block is isomorphic to G and any two distinct vertices in Kv are joined in exactly (at most, at least) λ blocks of B. A packing (covering) design is said to be maximum (minimum) if no other such packing (covering) design has more (fewer) blocks. In this paper, a maximum (v, G, λ)-PD and a minimum (v, G,λ)-CD are constructed for 3 grraphs of 6 vrertices and 7 edges.

【免责声明】以下全部内容由[康庆德]上传于[2009年07月10日 16时24分51秒],版权归原创者所有。本文仅代表作者本人观点,与本网站无关。本网站对文中陈述、观点判断保持中立,不对所包含内容的准确性、可靠性或完整性提供任何明示或暗示的保证。请读者仅作参考,并请自行承担全部责任。

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