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Permutations Avoiding Arithmetic Patterns [PDF]
The Electronic Journal of Combinatorics, 2004 A permutation $\pi$ of an abelian group $G$ (that is, a bijection from $G$ to itself) will be said to avoid arithmetic progressions if there does not exist any triple $(a,b,c)$ of elements of $G$, not all equal, such that $c-b=b-a$ and $\pi(c)-\pi(b)=\pi(b)- \pi(a)$. The basic question is, which abelian groups possess such a permutation?
openaire +3 more sources
Hypervigilance-avoidance pattern in spider phobia
, 2005 Cognitive-motivational theories of phobias propose that patients' behavior is characterized by a hypervigilance-avoidance pattern. This implies that phobics initially direct their attention towards fear-relevant stimuli, followed by avoidance that is ...
von Wartburg, Roman +11 more
core +1 more source
Central Nervous System Tumors Among Infants in Canada: A Report From CYP‐C
Pediatric Blood &Cancer, EarlyView.ABSTRACT Background Central nervous system (CNS) tumors in infants are rare, pose unique clinical challenges, and lack large‐scale evidence‐based data to guide management. This study seeks to describe CNS tumors in Canadian infants and to compare their outcomes with those of older children.
Samuel Sassine +17 more
wiley +1 more source
Classification of bijections between 321- and 132-avoiding permutations [PDF]
Discrete Mathematics & Theoretical Computer Science, 2008 It is well-known, and was first established by Knuth in 1969, that the number of 321-avoiding permutations is equal to that of 132-avoiding permutations. In the literature one can find many subsequent bijective proofs confirming this fact.
Anders Claesson, Sergey Kitaev
doaj +1 more source
Pediatric Blood &Cancer, EarlyView.ABSTRACT Background Allogeneic hematopoietic stem cell transplantation (alloHSCT) is an essential therapy for several malignant and nonmalignant diseases, but relapse and graft loss remain the principal threats to its success. Routine monitoring of chimerism and minimal residual disease (MRD) enables early detection of imminent recurrence and guides ...
Carmen Junk +10 more
wiley +1 more source
On the Characterization of Classes of Floorplans by Pattern-Avoiding Permutation Matrices
MathematicsLet R be an axis-aligned rectangle. We define a floorplan as a partition of R into rectangular regions (rooms) such that each vertex is shared by at most three rooms.
Andrea Frosini +2 more
doaj +1 more source
Permutation patterns, Stanley symmetric functions, and the Edelman-Greene correspondence [PDF]
Discrete Mathematics & Theoretical Computer Science, 2013 Generalizing the notion of a vexillary permutation, we introduce a filtration of $S_{\infty}$ by the number of Edelman-Greene tableaux of a permutation, and show that each filtration level is characterized by avoiding a finite set of patterns.
Sara Billey, Brendan Pawlowski
doaj +1 more source
Pediatric Blood &Cancer, EarlyView.ABSTRACT Background Numerous international studies have reported declines in new cancer diagnoses, delayed diagnoses and disruptions in cancer treatment following the implementation of COVID‐19 pandemic public health measures, raising concerns that these effects may ultimately contribute to increased cancer mortality.
Friederike Erdmann +8 more
wiley +1 more source
A complete enumeration of Ballot permutations avoiding sets of small patterns [PDF]
Enumerative Combinatorics and Applications, 2022 Nathan Sun
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Permutation Pattern Avoidance in the Alternating Sign Matrices
UMYU Scientifica JournalWe represented permutations using matrices. In the alternating sign matrices, the idea of pattern avoidance in permutation matrices with reference to Aunu Permutations is examined.
Sani Abba, Usman Sanusi, Sulaiman Sani
doaj +1 more source