Results 51 to 60 of about 114,014 (293)
Arc Permutations (extended abstract) [PDF]
Discrete Mathematics & Theoretical Computer Science, 2012 Arc permutations and unimodal permutations were introduced in the study of triangulations and characters. In this paper we describe combinatorial properties of these permutations, including characterizations in terms of pattern avoidance, connections to ...
Sergi Elizalde, Yuval Roichman
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Pattern avoidance in forests of binary shrubs [PDF]
Discrete Mathematics & Theoretical Computer Science, 2016 We investigate pattern avoidance in permutations satisfying some additional restrictions. These are naturally considered in terms of avoiding patterns in linear extensions of certain forest-like partially ordered sets, which we call binary shrub forests.
David Bevan +6 more
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Random Structures & AlgorithmsAbstractThe theory of limits of permutations leads to limit objects called permutons, which are certain Borel measures on the unit square. We prove that permutons avoiding a given permutation of order have a particularly simple structure. Namely, almost every fiber of the disintegration of the permuton (say, along the x‐axis) consists only of atoms ...
Frederik Garbe +3 more
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Monotone Triangles and 312 Pattern Avoidance [PDF]
The Electronic Journal of Combinatorics, 2011 We demonstrate a natural bijection between a subclass of alternating sign matrices (ASMs) defined by a condition on the corresponding monotone triangle which we call the gapless condition and a subclass of totally symmetric self-complementary plane partitions defined by a similar condition on the corresponding fundamental domains or Magog triangles. We
Ayyer, Arvind +2 more
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Pediatric Blood &Cancer, EarlyView.ABSTRACT Background B‐acute lymphoblastic leukemia (B‐ALL) is the most common pediatric cancer, and while most children in high‐resource settings are cured, therapy carries risks for long‐term toxicities. Understanding parents’ concerns about these late effects is essential to guide anticipatory support and inform evolving therapeutic approaches ...
Kellee N. Parker +7 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
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String pattern avoidance in generalized non-crossing trees [PDF]
Discrete Mathematics & Theoretical Computer Science, 2009 Combinatorics
Yidong Sun, Zhiping Wang
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Animals, 2023 Interactions between amphibians and arthropods encompass a wide range of ecological relationships, predominantly characterized by predator–prey dynamics, with adult amphibians as the predators. In some instances, the roles are reversed.
Francesco Cerini +4 more
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Organoids in pediatric cancer research
FEBS Letters, EarlyView.Organoid technology has revolutionized cancer research, yet its application in pediatric oncology remains limited. Recent advances have enabled the development of pediatric tumor organoids, offering new insights into disease biology, treatment response, and interactions with the tumor microenvironment.
Carla Ríos Arceo, Jarno Drost
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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