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cs.CC2021★ 1 cited
Parameterizing the Permanent: Hardness for -minor-free graphs
Radu Curticapean, Mingji Xia
In the 1960s, statistical physicists discovered a fascinating algorithm for counting perfect matchings in planar graphs. Valiant later showed that the same problem is #P-hard for g…
cs.CC2021
Modular counting of subgraphs: Matchings, matching-splittable graphs, and paths
Radu Curticapean, Holger Dell, Thore Husfeldt
We systematically investigate the complexity of counting subgraph patterns modulo fixed integers. For example, it is known that the parity of the number of -matchings can be det…
cs.CC2021
A full complexity dichotomy for immanant families
Radu Curticapean
Given an integer and an irreducible character of for some partition of , the immanant maps matri…