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In this paper, we consider the asymptotic properties of hook numbers of partitions in restricted classes. More specifically, we compare the frequency with which partitions into odd parts and partitions into distinct parts have hook numbers…

Combinatorics · Mathematics 2026-02-13 William Craig , Madeline Locus Dawsey , Guo-Niu Han

Symbol-pair codes are proposed to guard against pair-errors in symbol-pair read channels. The minimum symbol-pair distance plays a vital role in determining the error-correcting capability and the constructions of symbol-pair codes with…

Information Theory · Computer Science 2022-06-22 Junru Ma , Jinquan Luo

Leakage of information in power line communication networks is a threat to privacy and security both in smart grids and in-home applications. A way to enhance security is to encode the transmitted information with a secret key. Relying on…

Cryptography and Security · Computer Science 2020-04-14 Federico Passerini , Andrea M. Tonello

Computing the FFT of a single channel is well understood in the literature. However, computing the FFT of multiple channels in a systematic manner has not been fully addressed. This paper presents a framework to design a family of…

Signal Processing · Electrical Eng. & Systems 2022-11-15 Nanda K. Unnikrishnan , Keshab K. Parhi

The use of partial geometries to construct parity-check matrices for LDPC codes has resulted in the design of successful codes with a probability of error close to the Shannon capacity at bit error rates down to $10^{-15}$. Such…

Information Theory · Computer Science 2015-03-25 Qiuju Diao , Juane Li , Shu Lin , Ian Blake

Overlapping clusters are common in models of many practical data-segmentation applications. Suppose we are given $n$ elements to be clustered into $k$ possibly overlapping clusters, and an oracle that can interactively answer queries of the…

Machine Learning · Computer Science 2019-10-29 Wasim Huleihel , Arya Mazumdar , Muriel Médard , Soumyabrata Pal

We present "Reciprocating Locks", a novel mutual exclusion locking algorithm, targeting cache-coherent shared memory (CC), that enjoys a number of desirable properties. The doorway arrival phase and the release operation both run in…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-07-14 Dave Dice , Alex Kogan

We present Hemlock, a novel mutual exclusion locking algorithm that is extremely compact, requiring just one word per thread plus one word per lock, but which still provides local spinning in most circumstances, high throughput under…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-01-07 Dave Dice , Alex Kogan

One major open problem in network coding is to characterize the capacity region of a general multi-source multi-demand network. There are some existing computational tools for bounding the capacity of general networks, but their…

Information Theory · Computer Science 2015-03-17 Michelle Effros , Tracey Ho , Shirin Jalali

Cuckoo hashing [4] is a multiple choice hashing scheme in which each item can be placed in multiple locations, and collisions are resolved by moving items to their alternative locations. In the classical implementation of two-way cuckoo…

Data Structures and Algorithms · Computer Science 2011-11-16 Ely Porat , Bar Shalem

We investigate coupled identical phase oscillators with scale-free distribution of coupling strength. It is shown that partially locked states can occur due to the inhomogeneity in coupling and some properties of the coupling function.…

Adaptation and Self-Organizing Systems · Physics 2009-11-13 Tae-Wook Ko , Bard Ermentrout

We present a generalized distance metric that can be used to implement routing strategies and identify routing table entries to reach the root node for a given key, in a DHT (Distributed Hash Table) network based on either Chord, Kademlia,…

Networking and Internet Architecture · Computer Science 2024-02-29 Rashmi Kushwaha , Shreyas Kulkarni , Yatindra Nath Singh

Pebble transducers are nested two-way transducers which can drop marks (named "pebbles") on their input word. Such machines can compute functions whose output size is polynomial in the size of their input. They can be seen as simple…

Formal Languages and Automata Theory · Computer Science 2023-01-25 Gaëtan Douéneau-Tabot

We generalize staircase codes and tiled diagonal zipper codes, preserving their key properties while allowing each coded symbol to be protected by arbitrarily many component codewords rather than only two. This generalization which we term…

Information Theory · Computer Science 2024-12-24 Mohannad Shehadeh , Frank R. Kschischang , Alvin Y. Sukmadji , William Kingsford

Polyominoes have been the focus of many recreational and research investigations. In this article, the authors investigate whether a paper cutout of a polyomino can be folded to produce a second polyomino in the same shape as the original,…

Combinatorics · Mathematics 2017-01-16 Julia Martin , Elizabeth Wilcox

We give a counterexample to a conjecture of Poon [Poo06] that any orthogonal tree in two dimensions can always be flattened by a continuous motion that preserves edge lengths and avoids self-intersection. We show our example is locked by…

Computational Geometry · Computer Science 2008-01-30 David Charlton , Erik D. Demaine , Martin L. Demaine , Gregory Price , Yaa-Lirng Tu

In this paper, we study movements of simple polygonal chains in 3D. We say that an open, simple polygonal chain can be straightened if it can be continuously reconfigured to a straight sequence of segments in such a manner that both the…

Computational Geometry · Computer Science 2007-05-23 T. Biedl , E. Demaine , M. Demaine , S. Lazard , A. Lubiw , J. O'Rourke , M. Overmars , S. Robbins , I. Streinu , G. Toussaint , S. Whitesides

Chip designers outsource chip fabrication to external foundries, but at the risk of IP theft. Logic locking, a promising solution to mitigate this threat, adds extra logic gates (key gates) and inputs (key bits) to the chip so that it…

Cryptography and Security · Computer Science 2017-03-31 Mohamed El Massad , Jun Zhang , Siddharth Garg , Mahesh V. Tripunitara

This paper addresses the question of whether a single tile with nearest neighbor matching rules can force a tiling in which the tiles fall into a large number of isohedral classes. A single tile is exhibited that can fill the Euclidean…

Other Condensed Matter · Physics 2007-08-22 Joshua E. S. Socolar

A novel method is proposed for moving large, pyramid construction size, stone blocks. The method is inspired by a well known introductory physics homework problem, and is implemented by tying 12 identical rods of appropriately chosen radius…

Popular Physics · Physics 2015-02-26 J. West , G. Gallagher , K. Waters
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