2 citations · 2 across the 5 of their papers we have counts for
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Hamiltonian cycles for the square of the augmentation graphs and Gray codes for restricted permutations and ascent sequences
Masaya Tomie
In this paper, we construct a listing for the vertices of the augmentation graph of given size, and as a consequence, we obtain a Hamiltonian cycle for the square of the augmentati…
A relation between the shape of a permutation and the shape of the base poset derived from the Lehmer codes
Masaya Tomie
For a permutation Denoncourt constructed a poset which is the set of join-irreducibles of the Lehmer codes of the permutations in in the inversion order…
NBB bases of some pattern avoiding lattices
Masaya Tomie
In this paper we will determine the NBB bases with respect to standard ordering of coatoms (resp.atoms) of 123-132-213-avoiding (resp.321-avoiding) lattices. Using these expression…
Möbius numbers of some modified generalized noncrossing partitions
Masaya Tomie
In this paper we will give a Möbius number of for a Coxeter group which contains an affirmative answer for the conjecture 3.7.…
A generalization of Chebyshev polynomials and non rooted posets
Masaya Tomie
In this paper we give a generalization of Chebyshev polynomials and using this we describe the Möbius function of the generalized subword order from a poset {a1,...as,c |ai<c}, whi…