Applications of graph theory to group structure

Title Page......Page 5
Copyright Page......Page 6
Preface......Page 7
Contents......Page 9
1. Sets and Operations on Sets......Page 12
2. Relations and Functions......Page 18
3. Ordered Sets; Lattices......Page 23
4. Distances in a Set......Page 26
5. Graphs and Paths of a Graph......Page 29
6. Lengths and Deviations in a Graph......Page 36
7. Connectivity of a Graph and Kindred Notions......Page 43
8. The Set of n-Points Graphs......Page 51
9. Various Types of Graphs......Page 55
1. The Problem......Page 58
2. Description of a Communication Network......Page 59
3. Description of a Task in Communication Terms......Page 63
4. Optimal Organization......Page 67
5. Applications......Page 87
1. The Problem......Page 100
2. Definition of the Balance of a Graph......Page 102
3. Characteristics of Balanced Graphs......Page 104
4. Degree of Unbalance of a Graph......Page 109
5. Balancing Process......Page 118
6. Applications......Page 135
Bibliography......Page 138
Index......Page 144