Three years later I got bitten by this again, and I now believe that the 
degree of a vertex incident with a loop should be 1. Because it is rather 
pleasant to be sure that the degree of a vertex is equal to the number of 
its neighbors O_o

Nathann

On Thursday, May 6, 2010 2:43:43 AM UTC+2, leif wrote:
>
> On 5 Mai, 23:20, Fidel <[email protected]> wrote: 
> > Given a graph G, with a loop at vertex j. What is the convention 
> > followed in sage for entry j,j of the adjacency matrix? 
> > 
> > sage: G=Graph({0:[0],1:[1]},allow_loops=True);G.am() 
> > [1 0] 
> > [0 1] 
> > 
> > Just wandering if it is a bug or a feature. 
>
> What do you think is wrong with it? There's a difference between the 
> "number of edges touching a vertex" and its degree, so imho the matrix 
> is correct. (As long as the edges are represented by a set rather than 
> a multiset, i.e. multiedges=False, the matrix elements are actually 
> boolean.) 
>
> -Leif 
>
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