Results 21 to 30 of about 13,200 (261)
Counting Defective Parking Functions [PDF]
The Electronic Journal of Combinatorics, 2008 Suppose that $m$ drivers each choose a preferred parking space in a linear car park with $n$ spaces. Each driver goes to the chosen space and parks there if it is free, and otherwise takes the first available space with a larger number (if any). If all drivers park successfully, the sequence of choices is called a parking function.
Cameron, P. +3 more
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Standard fillings to parking functions [PDF]
Discrete Mathematics & Theoretical Computer Science, 2012 The Hilbert series of the Garsia-Haiman module can be written as a generating function of standard fillings of Ferrers diagrams. It is conjectured by Haglund and Loehr that the Hilbert series of the diagonal harmonics can be written as a generating ...
Elizabeth Niese
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Probabilizing parking functions
Advances in Applied Mathematics, 2017 We explore the link between combinatorics and probability generated by the question "What does a random parking function look like?" This gives rise to novel probabilistic interpretations of some elegant, known generating functions. It leads to new combinatorics: how many parking functions begin with $i$?
Persi Diaconis, Angela Hicks
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From G-parking functions to B-parking functions [PDF]
Journal of Combinatorial Theory, Series A, 2018 A matching $M$ in a multigraph $G=(V,E)$ is said to be uniquely restricted if $M$ is the only perfect matching in the subgraph of $G$ induced by $V(M)$ (i.e., the set of vertices saturated by $M$). For any fixed vertex $x_0$ in $G$, there is a bijection from the set of spanning trees of $G$ to the set of uniquely restricted matchings of size $|V|-1$ in
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Functional Model of an Automatic Vehicle Hold Based on an Electro-Hydraulic Braking System
World Electric Vehicle Journal, 2023 The algorithm function designed in this paper can make a car maintain stability during automatic vehicle hold through the model input of multi-level target fluid pressure combined with slope judgment modules of different levels after the automatic ...
Yufeng Zhou +3 more
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Advances in Mechanical Engineering, 2023 For the autonomous parking problem of the tractor-semitrailer vehicle, a piecewise Gauss pseudospectral method is proposed as a trajectory planning scheme in this paper.
Duoyang Qiu +4 more
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Generalized Parking Function Polytopes
Annals of Combinatorics, 2023 AbstractA classical parking function of length n is a list of positive integers $$(a_1, a_2, \ldots , a_n)$$ ( a 1 , a 2
Mitsuki Hanada +2 more
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Studi Kasus : Optimalisasi Fasilitas Parkir Di UNISBA
Ethos: Jurnal Penelitian dan Pengabdian kepada Masyarakat, 2019 . Bandung Islamic University is a private university that gets college institution accreditation with predicate of Excellence (A) in Bandung. Based on the results of a survey conducted by the Unisba Quality Assurance Agency in 2016/2017 the problem of ...
nugraha komarudin +3 more
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E-VPMS 1.0: Enhanced Vehicle Parking Monitoring System
MATEC Web of Conferences, 2018 Due to lack of vehicle parking slot in front of Block Q, Faculty of Electrical and Electronic Engineering (FKEE), UTHM, the enhanced vehicle parking monitoring system (E-VPMS 1.0) is developed to identify parking slots available in the parking area as ...
Shian Lim Yeu +2 more
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On Parking Functions and The Tower of Hanoi
The American Mathematical Monthly, 2023 The displacement of a parking function measures the total difference between where cars want to park and where they ultimately park. In this article, we prove that the set of parking functions of length $n$ with displacement one is in bijection with the set of ideal states in the famous Tower of Hanoi game with $n+1$ disks and $n+1$ pegs, both sets ...
Yasmin Aguillon +8 more
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