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Lattice Paths with Diagonal Steps
Canadian Mathematical Bulletin, 1969The André-Poincaré "probléme du scrutin" [9] can be stated as follows: In an election between two candidates A polls m votes, B polls n, m > n. If the votes are counted one by one what is the probability that A leads B throughout the counting? Many derivations and interpretations of the solution have been given and a convenient summary of methods ...
Goodman, E., Narayana, T. V.
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On Lattice Paths with Four Types of Steps
Graphs and Combinatorics, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sherry H. F. Yan, Yaqiu Zhang
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Lattice Paths and Determinants
2001In this article we look at one such marvelous piece of mathematical reasoning, the Lemma of Gessel and Viennot which has become an instant classic in combinatorial enumeration since its appearance in 1985. A similar version which was largely overlooked was previously obtained by Lindstrom.
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On q-Series and Split Lattice Paths
Graphs and Combinatorics, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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The area determined by underdiagonal lattice paths
1996We use the “first passage decomposition” methodology to study the area between various kinds of underdiagonal lattice paths and the main diagonal. This area is important because it is connected to the number of inversions in permutations and to the internal path length in various types of trees.
MERLINI, DONATELLA +2 more
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2019
In this chapter, we define corridor paths, which are a type of lattice paths. We introduce the corridor and vertex numbers of a corridor, and provide motivation for the techniques of the next chapter.
Shaun Ault, Charles Kicey
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In this chapter, we define corridor paths, which are a type of lattice paths. We introduce the corridor and vertex numbers of a corridor, and provide motivation for the techniques of the next chapter.
Shaun Ault, Charles Kicey
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Improved Path Planning by Tightly Combining Lattice-Based Path Planning and Optimal Control
IEEE Transactions on Intelligent Vehicles, 2021Kristoffer Bergman +2 more
exaly
Robot path planning based on concept lattice
International Journal of Approximate Reasoning, 2023Xueli Xu, Zhuo Zhang
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A Lattice Path Equality: 11106
The American Mathematical Monthly, 2006David Callan, Kenneth Bernstein
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