Results 11 to 20 of about 11,854 (238)
An Enumerative Combinatorics Model for Fragmentation Patterns in RNA Sequencing Provides Insights into Nonuniformity of the Expected Fragment Starting-Point and Coverage Profile. [PDF]
Prakash C, Haeseler AV.
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Enumerative Combinatorics of Lattice Polymers
Nathan Clisby
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Enumerative Combinatorics [PDF]
Enumerative Combinatorics focusses on the exact and asymptotic counting of combinatorial objects. It is strongly connected to the probabilistic analysis of large combinatorial structures and has fruitful connections to several disciplines, including statistical physics, algebraic combinatorics, graph theory and computer science.
Mireille Bousquet-Mélou +3 more
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THE (△,□)-EDGE GRAPH G△,□ OF A GRAPH G [PDF]
To a simple graph $G=(V,E)$, we correspond a simple graph $G_{\triangle,\square}$ whose vertex set is $\{\{x,y\}: x,y\in V\}$ and two vertices $\{x,y\},\{z,w\}\in G_{\triangle,\square}$ are adjacent if and only if $\{x,z\},\{x,w\},\{y,z\},\{y,w\}\in V ...
Gh. A. Nasiriboroujeni +2 more
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Enumeration of Graded (3 + 1)-Avoiding Posets [PDF]
The notion of (3+1)-avoidance appears in many places in enumerative combinatorics, but the natural goal of enumerating all (3+1)-avoiding posets remains open. In this paper, we enumerate \emphgraded (3+1)-avoiding posets.
Joel Lewis Brewster, Yan X Zhang
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Applications in Enumerative Combinatorics of Infinite Weighted Automata and Graphs [PDF]
In this paper, we present a general methodology to solve a wide variety of classical lattice path counting problems in a uniform way. These counting problems are related to Dyck paths, Motzkin paths and some generalizations. The methodology uses weighted
R. De Castro, A. Ramírez, J.L. Ramírez
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Note on r-central Lah numbers and r-central Lah-Bell numbers
The r-Lah numbers generalize the Lah numbers to the r-Stirling numbers in the same sense. The Stirling numbers and the central factorial numbers are one of the important tools in enumerative combinatorics. The r-Lah number counts the number of partitions
Hye Kyung Kim
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Total positivity for cominuscule Grassmannians [PDF]
In this paper we explore the combinatorics of the non-negative part $(G/P)_{\geq 0}$ of a cominuscule Grassmannian. For each such Grassmannian we define Le-diagrams ― certain fillings of generalized Young diagrams which are in bijection with the cells of
Thomas Lam, Lauren Williams
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Urn Sampling Without Replacement: Enumerative Combinatorics in R
This short paper introduces a code snippet in the form of two new R functions that enumerate possible draws from an urn without replacement; these functions call C code, written by the author.
Robin K. S. Hankin
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