Catastrophic fault patterns and glacial landscapes

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Title:	Catastrophic fault patterns and glacial landscapes
Authors:	ID Došlić, Tomislav (Author) ID Podrug, Luka (Author) ID Zubac, Ivana (Author)
Files:	https://www.rairo-ita.org/articles/ita/abs/2026/01/ita20260042/ita20260042.html
Language:	English
Work type:	Unknown
Typology:	1.01 - Original Scientific Article
Organization:	FIŠ - Faculty of Information Studies in Novo mesto
Abstract:	Catastrophic fault patterns are failure patterns resulting in the loss of connectivity of a processor array. We provide bijective correspondences between such patterns in one-dimensional processor arrays and lattice paths satisfying certain inertial criteria. In that way, we obtain new results for the asymptotic behavior of the enumerating sequences of catastrophic fault patterns.We also recover and reinterpret several known enumerative results and open possibilities for obtaining analogous results for more complex, but still essentially one-dimensional arrays.
Keywords:	Catastrophic fault patterns, Dyck path, Motznik path
Publication date:	01.01.2026
Year of publishing:	2026
Number of pages:	str. 1-13
Numbering:	Vol. 60, art. no. ǂ21
PID:	20.500.12556/ReVIS-14503
COBISS.SI-ID:	287622147
UDC:	519.174
ISSN on article:	2804-7346
Note:	Nasl. z nasl. zaslona; Opis vira z dne 12. 8. 2026;
Publication date in ReVIS:	28.08.2026
Views:	21
Downloads:	0
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Title:	RAIRO : Theoretical informatics and applications.
Shortened title:	RAIRO, Theor. inform. appl.
Publisher:	EDP Sciences
ISSN:	2804-7346
COBISS.SI-ID:	287505155

Language:	Slovenian
Keywords:	katastrofalni vzorci okvar, procesorska polja, izguba povezljivosti, Dyckove poti, Motzkinove poti

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