TY - JOUR
T1 - A note on a counting problem arising in percolation theory
AU - Levy, Rafi
AU - Shamir, Eli
PY - 1993/4/28
Y1 - 1993/4/28
N2 - We investigate an esoteric enumeration problem on graphs which arises from a physical model related to the continuum percolation theory. It counts signed objects, but surprisingly, we are able to find an equivalent count of positive signs only, namely, restricted acyclic orientations. This reduces the counting effort, but shows on the other hand that it is a #P-complete problem.
AB - We investigate an esoteric enumeration problem on graphs which arises from a physical model related to the continuum percolation theory. It counts signed objects, but surprisingly, we are able to find an equivalent count of positive signs only, namely, restricted acyclic orientations. This reduces the counting effort, but shows on the other hand that it is a #P-complete problem.
UR - http://www.scopus.com/inward/record.url?scp=43949167612&partnerID=8YFLogxK
U2 - 10.1016/0012-365X(93)90377-6
DO - 10.1016/0012-365X(93)90377-6
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AN - SCOPUS:43949167612
SN - 0012-365X
VL - 114
SP - 361
EP - 365
JO - Discrete Mathematics
JF - Discrete Mathematics
IS - 1-3
ER -