Báo cáo toán học: "Class-Uniformly Resolvable Group Divisible Structures II: Frames" pdf

... 13 for points 9 ≤ x ≤ 17. The groups are defined as follows: group 0: {0, 1, 2} group 1: {3, 4, 5} group 2: {6, 7, 8} group 3: {9, 10, 11} group 4: {12, 13, 14} group 5: {15, 16, 17} Each row ... Ryerson University, 2003. [7] P. Danziger and B. Stevens. Class-uniformly resolvable group divisible structures I: Resolvable group divisible designs. Electron. J. Combin., 1...

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... finite abelian groups, Austral. J. Combin., 29, (2004), 259–271. the electronic journal of combinatorics 13 (2006), #R92 18 In this paper the group A is always a countable abelian group. Since ... abelian group. It is not the case that every countable graph which has an infinite set of mutually dis- joint edges will necessarily have edge-magic labellings over an arbitrary countable group....

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... gr oup structure by loop multiplication, and the resulting group is called the edge path group of P based a t v 0 . Now we ask if the groups π 1 (P, v 0 ) and  E(P, v 0 ) are isomorphic. As topological ... also consider the group G, defined as follows. Let T be a spanning tree in the 1-skeleton of ∆. Since ∆ is connected, such a spanning tree exists. We define G to be the free group ge...

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