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Jan 28 at 16:06 comment added Alexander Chervov @JoshuaZ trivial example - full graph - so d = 1, any path is "unshortable" So for highly connected graphs - it is something similar can get very long paths since "d" is small. But the interesting cases - when "d" is higher. For example even if take the simplest lattice - (Z/n)^d (its Cayley graph) what is the maximal length of the "unshortable" path ?
Jan 28 at 15:56 comment added JoshuaZ " but there can be longer paths which are still unshortable. " Do you have a smallish example of this?
Jan 28 at 10:18 history edited Alexander Chervov CC BY-SA 4.0
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Jan 28 at 10:10 history asked Alexander Chervov CC BY-SA 4.0