[SeqFan]. Adjacency matrix, correction. Was: A possible candidate for OEIS
Antti Karttunen
antti.karttunen at gmail.com
Mon Aug 21 19:39:03 CEST 2006
Antti Karttunen wrote:
> Brendan McKay wrote:
>
>> Equivalently, directed graphs (simple but loops allowed) without a
>> few small forbidden subgraphs (those allowing 2 distinct paths of
>> length 2 from vertex x to vertex y for some x,y; I think there are
>> 6 possibilities). Nice.
>>
>>
>>
> Nice interpretation! For those SeqFanaticians for whom the above
> connection seems entirely mysterious,
> please read this: http://mathworld.wolfram.com/AdjacencyMatrix.html
> and it should be clear.
Not at all clear, because the page actually _doesn't mention_ the useful
property
of an adjacency matrix that an entry a(i,j) in its nth power gives the
number
of distinct ways to traverse with n steps from vertex i to vertex j.
(And Wikipedia is not any better:
http://en.wikipedia.org/wiki/Adjacency_matrix )
But this page explains it: http://mathworld.wolfram.com/GraphPower.html
-- Same.
More information about the SeqFan
mailing list