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A Harary-Sachs theorem for hypergraphs

Abstract:
We generalize the Harary-Sachs theorem to k-uniform hypergraphs: the codegree-d coefficient of the characteristic polynomial of a uniform hypergraph H can be expressed as a weighted sum of subgraph counts over certain multi-hypergraphs with d edges. We include a detailed description of the aforementioned multi-hypergraphs and a formula for their corresponding weights.
Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1016/j.jctb.2021.01.002

Authors


More by this author
Institution:
University of Oxford
Division:
SSD
Department:
Saïd Business School
Role:
Author


Publisher:
Elsevier
Journal:
Journal of Combinatorial Theory, Series B More from this journal
Volume:
149
Pages:
1-15
Publication date:
2021-01-14
Acceptance date:
2021-01-08
DOI:
ISSN:
0095-8956


Language:
English
Keywords:
Pubs id:
1153031
Local pid:
pubs:1153031
Deposit date:
2021-01-11

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