Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
418579 | Discrete Applied Mathematics | 2011 | 11 Pages |
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
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Physical Sciences and Engineering
Computer Science
Computational Theory and Mathematics
Authors
Yingjie Lan, Songqing Chen,