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Primeness of Generalized Parking Functions
The Electronic Journal of CombinatoricsClassical parking functions are a generalization of permutations that appear in many combinatorial structures. Prime parking functions are indecomposable components such that any classical parking function can be uniquely described as a direct sum of prime ones.
Sam Armon +6 more
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Ordered Forests and Parking Functions [PDF]
International Mathematics Research Notices, 2012 22 pages, revised ...
Foissy, Loïc
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Parking functions: interdisciplinary connections
Advances in Applied Probability, 2023 AbstractSuppose that m drivers each choose a preferred parking space in a linear car park with n spots. In order, each driver goes to their chosen spot and parks there if possible, and otherwise takes the next available spot if it exists. If all drivers park successfully, the sequence of choices is called a parking function. Classical parking functions
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Enumeration of minimal acyclic automata via generalized parking functions [PDF]
Discrete Mathematics & Theoretical Computer Science, 2015 We give an exact enumerative formula for the minimal acyclic deterministic finite automata. This formula is obtained from a bijection between a family of generalized parking functions and the transitions functions of acyclic automata.
Jean-Baptiste Priez
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Journal of Combinatorial Theory, Series A, 1975 AbstractA large class of one-to-one correspondences is given between acyclic and parking functions, generalizing a previous construction given by Foata and Riordan.
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Journal of Advanced Transportation, 2017 The constantly increasing number of cars in the megacities is causing severe parking problems. To resolve this problem, many cities adopt parking guidance system as a part of intelligent transportation system (ITS).
Jong-Ho Shin +3 more
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Design and research on the electronic parking brake system of the medium and heavy duty vehicles
Journal of Hebei University of Science and Technology, 2015 Focusing on auto control of parking brake system of the medium and heavy duty vehicles, the key problems are studied including the system design and control strategies.
Hongliang WANG +3 more
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Coding Parking Functions by Pairs of Permutations [PDF]
The Electronic Journal of Combinatorics, 2003 We introduce a new class of admissible pairs of triangular sequences and prove a bijection between the set of admissible pairs of triangular sequences of length $n$ and the set of parking functions of length $n$. For all $u$ and $v=0,1,2,3$ and all $n\le 7$ we describe in terms of admissible pairs the dimensions of the bi-graded components $h_{u,v ...
Yurii Burman, Michael Shapiro 0004
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Permutation invariant parking assortments [PDF]
Enumerative Combinatorics and Applications, 2023 Douglas M. Chen +4 more
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Journal of Advanced Transportation, 2023 Parking lots have many complex structures, diverse functions, and plentiful elements. The frequent flow of vehicles with narrow and dim spaces increases the probability of various traffic accidents.
Yijing Zhang +5 more
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