Because of their high nutritional value, the demand for scallops is increasing year by year. In process improving people’s living standards, ready-to-eat characteristics and dry sales this product make its shelling particularly important in production process. However, mechanism ultra-high pressure has not yet been clarified. Therefore, in-depth study structural change scallop connection interf...

Given a protein complex involving two partners, the receptor and the ligand, this paper addresses the problem of comparing their binding patches, i.e. the sets of atoms accounting for their interaction. This problem has been classically addressed by searching quasi-isometric subsets of atoms within the patches, a task equivalent to a maximum clique problem, a NP-hard problem, so that practical ...

A characteristic polynomial was recently de!ned for greedoids, generalizing the notion for matroids. When chordal graphs are viewed as antimatroids by shelling of simplicial vertices, the greedoid characteristic polynomial gives additional information about those graphs. In particular, the characteristic polynomial for a chordal graph is an alternating clique generating function and is expressi...

We consider two shellings of the boundary of the hypercube equivalent if one can be transformed into the other by an isometry of the cube. We observe that a class of indecomposable permutations, bijectively equivalent to standard double occurrence words, may be used to encode one representative from each equivalence class of the shellings of the boundary of the hypercube. These permutations thu...

Let L → H be a lattice homomorphism and let a “readable” drawing of H be given. It is natural to make use of it to try getting a clear(er) drawing of L. Hence, the following question is explored: How the knowledge of the congruence lattice Con(L) of L can help in getting “better” drawings of L? This will be done by proposing rank shelling procedures of (M(Con(L),≤) and will be illustrated with ...

We give a short, self-contained proof of Stanley’s reciprocity theorem for a rational cone K ⊂ R. Namely, let σK(x) = ∑ m∈K∩Zd x m. Then σK(x) and σK◦(x) are rational functions which satisfy the identity σK(1/x) = (−1) σK◦(x). A corollary of Stanley’s theorem is the Ehrhart-Macdonald reciprocity theorem for the lattice-point enumerator of rational polytopes. A distinguishing feature of our proo...

This paper introduces a new and simple statistic on noncrossing partitions that expresses each coordinate of the toric h-vector of a cubical complex, written in the basis of the Adin h-vector entries, as the total weight of all noncrossing partitions. The same model may also be used to obtain a very simple combinatorial interpretation of the contribution of a cubical shelling component to the t...