May 21, 2019   11:09 p.m. Zina
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Large graphs and communication networks of given degree and diameter.

Supervisor: prof. RNDr. Jozef Širáň, DrSc.

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This page shows details on the project. The primary projects are displayed together with a list of sub-projects.

Project description:The degree-diameter problem, motivated by design of communication network, is to determine the largest numer of vertices in a graph or a digraph with a specified maximum degree and a given diameter and to characterize the corresponding extremal (di)graphs. The main goal of the project is to conduct a large scale investigation of the usage of the covering graph technique to improve the existing constructions of large vertex-transitive and Cayley (di)graphs of given degree and diameter, with possible applications within and outsider of mathematics.
Kind of project:APVV ()
Department:Department of Mathematics and Constructive Geometry (FCE)
Project identification:APVV-0040-06
Project status:Successfully completed
Project start date :01. 01. 2007
Project close date:31. 12. 2009
Number of workers in the project:1
Number of official workers in the project:0