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Nonhomogeneous parking functions and noncrossing partitions [PDF]
The Electronic Journal of Combinatorics, 2008 For each skew shape we define a nonhomogeneous symmetric function, generalizing a construction of Pak and Postnikov. In two special cases, we show that the coefficients of this function when expanded in the complete homogeneous basis are given in terms ...
Armstrong, Drew, Eu, Sen-Peng
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Special Cases of the Parking Functions Conjecture and Upper-Triangular Matrices [PDF]
Discrete Mathematics & Theoretical Computer Science, 2011 We examine the $q=1$ and $t=0$ special cases of the parking functions conjecture. The parking functions conjecture states that the Hilbert series for the space of diagonal harmonics is equal to the bivariate generating function of $area$ and $dinv$ over ...
Paul Levande
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Function Replacement Decision-Making for Parking Space Renewal Based on Association Rules Mining
Land, 2022 Parking lots are typical urban spaces with a large total area and scattered distribution. With the development of smart cars and shared driving, parking demand is likely to decline.
Bing Xia, Yichen Ruan
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Applied Sciences, 2021 To optimize performances such as continuous curvature, safety, and satisfying curvature constraints of the initial planning path for driverless vehicles in parallel parking, a novel method is proposed to train control points of the Bézier curve using the
Leiyan Yu +5 more
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Enumeration of minimal acyclic automata via generalized parking functions [PDF]
, 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 ...
Priez, Jean-Baptiste
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A Parking Function Setting for Nabla Images of Schur Functions [PDF]
Discrete Mathematics & Theoretical Computer Science, 2013 In this article, we show how the compositional refinement of the ``Shuffle Conjecture'' due to Jim Haglund, Jennifer Morse, and Mike Zabrocki can be used to express the image of a Schur function under the Bergeron-Garsia Nabla operator as a weighted sum ...
Yeonkyung Kim
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Non-commutative Frobenius characteristic of generalized parking functions : Application to enumeration [PDF]
Discrete Mathematics & Theoretical Computer Science, 2015 We give a recursive definition of generalized parking functions that allows them to be viewed as a species. From there we compute a non-commutative characteristic of the generalized parking function module and deduce some enumeration formulas of ...
Jean-Baptiste Priez, Aladin Virmaux
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Accurate Guidance Method and App Development for Assigning Parking Spaces Based on Indoor Wi-Fi
Promet (Zagreb), 2021 Existing parking guidance systems only provide road guidance outside the parking lot but do not provide accurate guidance to specific parking spaces inside the parking lot.
Fuquan Pan +5 more
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Robust method of shared parking allocation based on buffer time
Shenzhen Daxue xuebao. Ligong ban, 2022 Shared parking platform determines the parking allocation schemes according to the time windows of parking supplies and parking demands. In order to deal with uncertain situations such as early arrival or delayed departure during parking, the robustness ...
XUE Zhaojie, YUAN Qiufang, JI Kaifeng
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Hierarchical Control of Trajectory Planning and Trajectory Tracking for Autonomous Parallel Parking
IEEE Access, 2021 For the parallel parking problem in narrow space, this paper proposes a trajectory tracking control method with a novel trajectory planning layer for autonomous parallel parking based on a numerical optimization algorithm and model predictive control. In
Duoyang Qiu +4 more
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