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- W. KOOK
- 1997

For any finite simplicial complex K, one can define Laplace operators ∆i which are combinatorial analogues of the Laplace operators on differential forms for a Riemannian manifold. The definition (as in [6, 7]) is as follows. Let Ci be the R-vector space of (oriented) simplicial i-chains in K with real coefficients, and ∂i : Ci → Ci−1 the usual simplicial… (More)

- W. Kook
- Discrete Applied Mathematics
- 2004

- W. Kook
- Discrete Mathematics
- 2005

- W. Kook
- Discrete Applied Mathematics
- 2007

Given a graph G, let fk be the number of forests of cardinality k in G. Then the sequence (fk) has been conjectured to be unimodal for any graph G. In this paper we confirm this conjecture for Kn and Kn,n by showing that the sequence for Kn is strictly increasing (when n ≥ 4) and the sequence for Kn,n is strictly increasing except for the very last term. As… (More)

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