Geodesic
Strings of length 3 in grand-Dyck paths and the Chung-Feller property
The electronic journal of combinatorics, Tome 19 (2012) no. 2
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This paper deals with the enumeration of Grand-Dyck paths according to the statistic "number of occurrences of $\tau$" for every string $\tau$ of length $3$, taking into account the number of flaws of the path. Consequently, some new refinements of the Chung-Feller theorem are obtained.
DOI : 10.37236/2181
Classification : 05A15, 05A19
Mots-clés : grand-Dyck path, Dyck path, Chung-Feller theorem, string

Aristidis Sapounakis  1   ; Panagiotis Tsikouras  1   ; Ioannis Tasoulas  1   ; Kostas Manes  1

1 University of Piraeus 
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     author = {Aristidis Sapounakis and Panagiotis Tsikouras and Ioannis Tasoulas and Kostas Manes},
     title = {Strings of length 3 in {grand-Dyck} paths and the {Chung-Feller} property},
     journal = {The electronic journal of combinatorics},
     year = {2012},
     volume = {19},
     number = {2},
     doi = {10.37236/2181},
     zbl = {1243.05021},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/2181/}
}
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Aristidis Sapounakis; Panagiotis Tsikouras; Ioannis Tasoulas; Kostas Manes. Strings of length 3 in grand-Dyck paths and the Chung-Feller property. The electronic journal of combinatorics, Tome 19 (2012) no. 2. doi: 10.37236/2181

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