4 citations · 5 across the 10 of their papers we have counts for
10 papers
Block-hierarchical covariance decompositions for finite-block additive functionals
Abbas Alhakim
We study additive functionals of stationary Markov chains whose observables depend on a fixed finite block of consecutive states. Such block observables arise naturally in sliding-…
Overlapping window tests for correlation and trend
Abbas Alhakim
We develop a general framework for constructing and analyzing overlapping sliding-window statistics for dependence and trend detection. For a fixed window size, the overlapping blo…
Subdivisions of Oriented Cycles in Digraphs with Hamiltonian directed path
Abbas Alhakim, Mouhamad El Joubbeh
Cohen et al. conjectured that for every oriented cycle there exist an integer such that every strong -chromatic digraph contains a subdivision of . El Joubbeh c…
Orientable sequences over non-binary alphabets
Abbas Alhakim, Chris J. Mitchell, Janusz Szmidt +1
We describe new, simple, recursive methods of construction for orientable sequences over an arbitrary finite alphabet, i.e. periodic sequences in which any sub-sequence of n consec…
Nonbinary Counterparts of the Prefer-Same and Prefer-Opposite de Bruijn Sequences
Abbas Alhakim
The well known prefer-one, prefer-opposite, and prefer-same binary de Bruijn sequences are all constructed using simple preference rules. We apply the technique of preference funct…
Efficient constructions of the Prefer-same and Prefer-opposite de Bruijn sequences
Evan Sala, Joe Sawada, Abbas Alhakim
The greedy Prefer-same de Bruijn sequence construction was first presented by Eldert et al.[AIEE Transactions 77 (1958)]. As a greedy algorithm, it has one major downside: it requi…