Improving Upper and Lower Bounds on the Order of Large Graphs under Degree and Distance Constraints

网络控制着社会的各个方面，包括交通网络、通信网络、计算机网络和货物分配网络等，对这些网络的理论分析已经成为一门至关重要的学科。网络可以用图来建模。该项目将提供新的理论结果，提高我们对网络拓扑的认识。在给定最大度和距离约束的情况下，新的知识将被用于构建大型图。

Networks govern all aspects of society, including transportation networks, communication networks, computer networks and networks for the distribution of goods etc. - and the theoretical analysis of such networks has become a subject of fundamental importance. Networks can be modelled by graphs. This project will provide new theoretical results which will improve our knowledge of network topologies. The new knowledge will then be utilised in the construction of large graphs with respect to given maximum degree and distance constraints.