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- W2002076329 abstract "In [7], several conjectures are listed about uniformly most reliable graphs, and, to date, no counterexamples have been found. These include the conjectures that an optimal reliable graph has degrees that are almost regular, has maximum girth, and has minimum diameter. In this article, we consider simple graphs and present one counterexample and another possible counterexample of these conjectures: maximum girth (i.e., maximize the length of the shortest circuit of the graph G ) and minimum diameter (i.e., minimize the maximum possible distance between any pair of vertices)." @default.
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- W2002076329 date "2000-04-01" @default.
- W2002076329 modified "2023-09-25" @default.
- W2002076329 title "COUNTEREXAMPLES TO CONJECTURES FOR UNIFORMLY OPTIMALLY RELIABLE GRAPHS" @default.
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- W2002076329 doi "https://doi.org/10.1017/s0269964800142044" @default.
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