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Entropy: A Heuristic Metric to Avoid Repetitive Tiling for Irregular Polyomino Subarray Design

International Radar Conference
Irregular polyomino subarrays, offering an effective trade-off between performance and cost, have recently emerged as a focal point in large-scale phased array research.
Xinyao Chen   +3 more
semanticscholar   +1 more source

Maximum generalized polyomino chains on Wiener number

Journal of Physics: Conference Series
We set Pn to indicate the collection of all generalized polyomino chains composed of n unit squares. For Pn ∈Ρn, W (Pn) can be used as the Wiener number of Pn . In this article, we prove that for any generalized polyomino chain Pn ∈Ρn, we have W (Pn) ≤ W
Yunjing Pan
semanticscholar   +1 more source

Tuning a Simulated Annealing Heuristic for Irregular Polyomino Tiling

2021 Dynamics of Systems, Mechanisms and Machines (Dynamics), 2021
This paper describes using simulated annealing and integer programming to the problem of irregular polyomino tiling. Simulated annealing (SA) has many parameters which significantly influence on its effectivity.
A. Fabarisova, V. Kartak
semanticscholar   +1 more source

Creating an Exhaustive Surrogate Dataset of Polyomino Structures for Tractable Design Exploration

Design Automation Conference
Many computational design methods like generative models and topology optimization find optimal structures for certain requirements by iteratively trying alternatives that may include non-manifolds and without an explicit trace of feasible structures ...
M. Elapolu, Mahmoud Dinar
semanticscholar   +1 more source

D α -characteristic Polynomials and D α -energies of Two Classes of Cyclic Polyomino Chains

Discrete Mathematics, Algorithms and Applications (DMAA)
For a connected graph [Formula: see text], let [Formula: see text] and [Formula: see text] denote the distance matrix and the diagonal matrix of vertex transmissions of [Formula: see text], respectively. The generalized distance matrix [Formula: see text]
Yonghong Zhang, Ligong Wang
semanticscholar   +1 more source

Adaptive Metamorphic Polyomino Structures: Searching Surrogate Datasets of Different Loads for Structures With Finite Moves Apart

IEEE/ASME International Conference on Mechatronic and Embedded Systems and Applications
Polyomino structures are manifold geometries formed by joining equal-sized squares edge-to-edge. Despite their tremendous potential, they have not been utilized in structural design applications.
Mukunda Moulik Puvvada   +2 more
semanticscholar   +1 more source

Medians and centres of polyominoes

Information Processing Letters, 1996
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yves Métivier, Nasser Saheb
openaire   +2 more sources

Evolving polyomino puzzles

2016 IEEE Congress on Evolutionary Computation (CEC), 2016
A polyomino puzzle is a collection of polyominos that can be joined to make a simple shape. The game Ten-Yen was one of the first of these. It has ten polyomino pieces that could be used to make a 6×6 square in a variety of ways. In this study we define representations and fitness functions for generating polyomino puzzles as well as developing a ...
Daniel A. Ashlock, Lauren Taylor
openaire   +1 more source

Kirchhoff Indices and Numbers of Spanning Trees of Molecular Graphs Derived from Linear Crossed Polyomino Chain

Polycyclic aromatic compounds (Print), 2020
Polyomino systems are widely studied in organic chemistry, especially in polycyclic aromatic compounds. Let Qn be a linear crossed polyomino chain with n complete quadrangles.
Yingui Pan, Chang Liu, Jianping Li
semanticscholar   +1 more source

Broadband Polyomino-Shaped Antenna Elements and Array Based on Substrate Integrated Cavity

IEEE International Symposium on Microwave, Antenna, Propagation and EMC Technologies for Wireless Communications
In this paper, a series of broadband polyomino-shaped high-order-mode back-cavity slot antenna (PS-HOM- BSA) elements based on substrate integrated cavity (SIC) are proposed for fifth-generation (5G) applications. Irregular SIC is used for the first time
Genqiang Kou   +3 more
semanticscholar   +1 more source

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