Results 31 to 40 of about 1,252 (172)
On the Entropy of a Two Step Random Fibonacci Substitution
Entropy, 2013 We consider a random generalization of the classical Fibonacci substitution. The substitution we consider is defined as the rule mapping, a → baa and b → ab, with probability , and → ba, with probability 1 – p for 0 < p < 1, and where the random rule is
Johan Nilsson
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How often do we reject a superior value? (Extended abstract) [PDF]
Discrete Mathematics & Theoretical Computer Science, 2011 Words $a_1 a_2 \ldots a_n$ with independent letters $a_k$ taken from the set of natural numbers, and a weight (probability) attached via the geometric distribution $pq^{i-1}(p+q=1)$ are considered.
Kamilla Oliver, Helmut Prodinger
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Multicollision attacks and generalized iterated hash functions
Journal of Mathematical Cryptology, 2010 We apply combinatorics on words to develop an approach to multicollisions in generalized iterated hash functions. Our work is based on the discoveries of A. Joux and on generalizations provided by M. Nandi and D. Stinson as well as J. Hoch and A. Shamir.
Kortelainen Juha +2 more
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Analysis of the multiplicity matching parameter in suffix trees [PDF]
Discrete Mathematics & Theoretical Computer Science, 2005 In a suffix tree, the multiplicity matching parameter (MMP) $M_n$ is the number of leaves in the subtree rooted at the branching point of the $(n+1)$st insertion.
Mark Daniel Ward, Wojciech Szpankowski
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Connectivity of Fibonacci cubes, Lucas cubes and generalized cubes [PDF]
Discrete Mathematics & Theoretical Computer Science, 2015 Graph ...
Jernej Azarija +3 more
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Computing Maximal Lyndon Substrings of a String
Algorithms, 2020 There are two reasons to have an efficient algorithm for identifying all right-maximal Lyndon substrings of a string: firstly, Bannai et al. introduced in 2015 a linear algorithm to compute all runs of a string that relies on knowing all right-maximal ...
Frantisek Franek, Michael Liut
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Counting words with Laguerre polynomials [PDF]
Discrete Mathematics & Theoretical Computer Science, 2013 We develop a method for counting words subject to various restrictions by finding a combinatorial interpretation for a product of formal sums of Laguerre polynomials.
Jair Taylor
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On Correlation Polynomials and Subword Complexity [PDF]
Discrete Mathematics & Theoretical Computer Science, 2007 We consider words with letters from a $q-ary$ alphabet $\mathcal{A}$. The kth subword complexity of a word $w ∈\mathcal{A}^*$ is the number of distinct subwords of length $k$ that appear as contiguous subwords of $w$.
Irina Gheorghiciuc, Mark Daniel Ward
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Protected node profile of Tries [PDF]
Discrete Mathematics & Theoretical Computer Science, 2018 In a rooted tree, protected nodes are neither leaves nor parents of any leaves. They have some practical motivations, e.g., in organizational schemes, security models and social-network models.
Mehri Javanian
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On the Entropy and Letter Frequencies of Powerfree Words
Entropy, 2008 We review the recent progress in the investigation of powerfree words, with particular emphasis on binary cubefree and ternary squarefree words. Besides various bounds on the entropy, we provide bounds on letter frequencies and consider their empirical ...
Manuela Heuer, Uwe Grimm
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