Dissertation > Mathematical sciences and chemical > Mathematics > Algebra,number theory, portfolio theory > Combinatorics ( combinatorics ) > Graph Theory

Graph Designs of Four-vertex Conneted Graphs

Author ZhaoTong
Tutor YinJianXing
School Suzhou University
Course Applied Mathematics
Keywords The complete n-partite multi-graph graph design existence
CLC O157.5
Type Master's thesis
Year 2002
Downloads 25
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Let n,A and t be positive integers. We use notation Kn(t) todenote the complete n -partite multi-graph based on vertex set X = in which X1 = X2 =Xn = t and every edge has multiplicity . Given a simple graph without isolated vertices , a ((Kn(t)),F)-design is defined to be an ordered pair ( V(Kn (t)), D ) where D is a collection of subgraphs isomorphic to F in Kn(t) such that their edges form a partition of edge-set of Kn(t). In this paper , we give the necessary and sufficient conditions of the existence of a ((Kn(t)),F)-design for any conneted graph with four vertices.Zhao TongDirected by Prof. Yin Jianxing

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