Hi all:

This issue is undocumented and seems odd to me. I could not find it
mentioned in sage-support before.

sage: Gamma1 = graphs.CompleteGraph(4); Gamma1
Complete graph: Graph on 4 vertices
sage: V1 = Gamma1.vertices(); V1
[0, 1, 2, 3]
sage: E1 = Gamma1.edges(); E1
[(0, 1, None),
 (0, 2, None),
 (0, 3, None),
 (1, 2, None),
 (1, 3, None),
 (2, 3, None)]
sage: Gamma1.incidence_matrix()
[-1 -1 -1  0  0  0]
[ 0  0  1 -1 -1  0]
[ 0  1  0  0  1 -1]
[ 1  0  0  1  0  1]

In other words, if you look at the ordering of the edges of Gamma1
determined by the incidence matrix that Sage returns, the first edge
(indicated by the first column) is (0,3). However, if you look at the
ordering of the edges of Gamma1 determined by the edges method, the
first edge is (0,1).

Maybe not a bug but an unusual feature?

- David Joyner

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