Article ID Journal Published Year Pages File Type
418579 Discrete Applied Mathematics 2011 11 Pages PDF
Abstract

A connected graph GG is kk-geodetically connected (kk-GC) if the removal of less than kk vertices does not affect the distances (lengths of the shortest paths) between any pair of the remaining vertices. As such graphs have important applications in robust system designs, we are interested in the minimum number of edges required to make a kk-GC graph of order nn, and characterizing those minimum kk-GC graphs. When 3

Related Topics
Physical Sciences and Engineering Computer Science Computational Theory and Mathematics
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