Results 51 to 60 of about 116,248 (268)
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 Parents of children treated for acute lymphoblastic leukemia (ALL) often experience significant caregiver burden and disruption to their well‐being. While parent quality of life (QoL) during treatment is well characterized, little is known about outcomes during early survivorship.
Sara Dal Pra +3 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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Pediatric Blood &Cancer, EarlyView.ABSTRACT Although most malignant germ cell tumors (GCTs) are highly curable with cisplatin‐based therapy, options for patients with multiply relapsed/refractory disease remain limited. For this population, we report the first pediatric use of gemcitabine, docetaxel, melphalan, and carboplatin (GemDMC) as part of sequential cycles of high‐dose ...
Maria Frost +10 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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Pattern Avoidance in Weak Ascent Sequences [PDF]
Discrete Mathematics & Theoretical Computer ScienceIn this paper, we study pattern avoidance in weak ascent sequences, giving some results for patterns of length 3. This is an analogous study to one given by Duncan and Steingr\'imsson (2011) for ascent sequences. More precisely, we provide systematically
Beáta Bényi +2 more
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Which Schubert varieties are local complete intersections? [PDF]
Discrete Mathematics & Theoretical Computer Science, 2012 We characterize by pattern avoidance the Schubert varieties for $\mathrm{GL}_n$ which are local complete intersections (lci). For those Schubert varieties which are local complete intersections, we give an explicit minimal set of equations cutting out ...
Henning Úlfarsson, Alexander Woo
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