Except the first introductory chapter,the rest of the paper mainly investigate the embedded connectivity,struture connectivity and substructure connectivity of complete transposition graph.It is well known that the connectivity?(G)and edge-connectivity ?(G)of a network G are two important measures for fault tolerance of a network.For an n-dimensional recursive interconnection network Gn,the h-embedded connectivity of Gn,denoted by ?h(Gn)(resp.the h-embedded edge-connectivity of Gn,denoted by ?h(Gn)),is the cardinality of a minimum subset of vertices(resp.edges),if any,whose deletion disconnects Gn and each vertex of remaining com-ponents is contained in an undamaged-dimensional subnetwork Gh.Chapter 2 investigate the h-embedded connectivity and h-embedded edge-connectivity of complete-transposition graph.The following results has been proved:?h(CTn)=(?)[(n(n-1)-h(h-1)]where 2?h?n-2,?h(CTn)=(?)[n(n-1)-h(h-1)]where 2?h?n—1.Let T be a certain particular connected subgraph of G.The T-Structure connec-tivity k(G;T)(T-Substrncture connectivity Ks(G;T),respectively)of graph G,is the minimum number of set of subgraphs F= {T?1,T?2...,T?m?(F=?T1,T2,...,Tm},respectively)in G,such that every T?i'?T(Ti?F is a connected subgraph of T,respectively)for every 1?i<?m and F's removal will disconnected G.In Chap-ter 3 investigate the structure connectivity k(G;T)and substructure connectivity Ks(G;T)of complete-transposition graph.The following results has been proved,n?4,And,... |