Search Results - "Tasoulas, I"
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Equivalence classes of ballot paths modulo strings of length 2 and 3
Published in Discrete mathematics (06-10-2016)“…Two paths are equivalent modulo a given string τ, whenever they have the same length and the positions of the occurrences of τ are the same in both paths. This…”
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Counting strings in Dyck paths
Published in Discrete mathematics (06-11-2007)“…This paper deals with the enumeration of Dyck paths according to the statistic “number of occurrences of τ ”, for an arbitrary string τ . In this direction,…”
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3
Counting strings at height j in Dyck paths
Published in Journal of statistical planning and inference (01-06-2011)“…Let τ be an arbitrary lattice path, called in this context string, consisting of two kinds of steps (rises and falls) and let j be a non-negative integer. In…”
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Enumeration of strings in Dyck paths: A bijective approach
Published in Discrete mathematics (28-05-2009)“…The statistics concerning the number of appearances of a string τ in Dyck paths as well as its appearances in odd and even level have been studied extensively…”
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Ordered trees and the inorder traversal
Published in Discrete mathematics (06-08-2006)“…In this paper ordered trees are studied with respect to the inorder traversal. New decompositions of ordered trees are introduced and used to obtain…”
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Hamiltonian Intervals in the Lattice of Binary Paths
Published in The Electronic journal of combinatorics (09-02-2024)“…Let $\mathcal{P}_n$ be the set of all binary paths (i.e., lattice paths with upsteps $u = (1,1)$ and downsteps $d = (1,-1)$) of length $n$ endowed with the…”
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Nonleft peaks in Dyck paths: A combinatorial approach
Published in Discrete mathematics (28-12-2014)“…A peak in a Dyck path is called nonleft, if the ascent preceding it is greater than or equal to the descent following it. In this paper, we present a…”
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Chains of binary paths and shifted tableaux
Published 29-11-2019“…In this paper, a natural bijection between multichains of binary paths and shifted tableaux is presented, and it is used for the enumeration of the chains with…”
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Chains with Small Intervals in the Lattice of Binary Paths
Published 25-11-2019“…We call an interval $[x,y]$ in a poset {\em small} if $y$ is the join of some elements covering $x$. In this paper, we study the chains of paths from a given…”
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The average number of times a stack exceeds a certain size
Published in IISA 2014, The 5th International Conference on Information, Intelligence, Systems and Applications (01-07-2014)“…We obtain an explicit as well as an asymptotic formula for the average number of times a stack exceeds a fixed size j, after the execution of n push…”
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Conference Proceeding -
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Equivalence classes of ballot paths modulo strings of length 2 and 3
Published 07-10-2015“…Two paths are equivalent modulo a given string $\tau$, whenever they have the same length and the positions of the occurrences of $\tau$ are the same in both…”
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Journal Article