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Results tagged with co.combinatorics
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user 2795
Enumerative combinatorics, graph theory, order theory, posets, matroids, designs and other discrete structures. It also includes algebraic, analytic and probabilistic combinatorics.
15
votes
Accepted
Generalization of the shakehands/condom puzzle?
This problem is well-known as "glove problem" or, indeed, "condom problem". It was almost solved by Hajnal and Lovasz in 1978, with final touches put by Vardi in 1991.
http://mathworld.wolfram.com/Gl …
12
votes
3
answers
1k
views
distance regular metric spaces
A metric space (V,d) will be called distance regular if for every distances a>0, b, c a nonnegative integer p(a,b,c) is defined, so that whenever d(B,C)=a, there are precisely p(a,b,c) points A such t …
4
votes
Local-global approach to graph theory
There are many results on locally such-and-such graphs in algebraic combinatorics. One of the first, and nicest, of them is the classification of locally Petersen graphs:
J. I. Hall, Locally Petersen …