518 results for combinatorial

github.com/eomahony/Numberjack

eomahony/Numberjack

Python Combinatorial Optimisation Platform (⭐ 162)

www.bing.com/ck/a?!&&p=8fabe6c9475af585bacc681cabdacf9274f12678558d99f361095c714d1b7aa3JmltdHM9MTc3MjU4MjQwMA&ptn=3&ver=2&hsh=4&fclid=209578c6-e4a4-6037-3a8d-6fd4e54a616a&u=a1aHR0cHM6Ly9tYXRoLnN0YWNrZXhjaGFuZ2UuY29tL3F1ZXN0aW9ucy85NTA0Ny9jb21iaW5hdG9yaWFsLWludGVycHJldGF0aW9uLW9mLXN1bS1vZi1zcXVhcmVzLWN1YmVz&ntb=1

Combinatorial interpretation of sum of squares, cubes

@Srivatsan: By stars-and-bars, $\binom {2n+2} {3}$ is the number of ways to write $2n-1$ as a sum of four nonnegative integers, if the order of the terms matter. The transitive closure of the rotation …

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combinatorics - Mathematics Stack Exchange

Let me add one purely-combinatorial proof. : the justification for doing so is that I think we can tell this in a "committee-forming" way that is used for other identities (e.g. Pascal's rule), without needing to …

github.com/Hanjun-Dai/graph_comb_opt

Hanjun-Dai/graph_comb_opt

Implementation of "Learning Combinatorial Optimization Algorithms over Graphs" (⭐ 515)

arxiv.org/abs/1707.02584v2

The algebraic Bethe Ansatz and combinatorial trees

We present in this paper a comprehensive introduction to the algebraic Bethe Ansatz, taking as examples the six-vertex model with periodic and non-periodic boundary conditions. We propose a diagrammatic representation of the commutation relations use...

github.com/jponttuset/mcg

jponttuset/mcg

Multiscale Combinatorial Grouping - Object Proposals and Segmentation (⭐ 308)

github.com/ds4dm/ecole

ds4dm/ecole

Extensible Combinatorial Optimization Learning Environments (⭐ 363)

arxiv.org/abs/1908.06789v2

Combinatorial Proof of the Minimal Excludant Theorem

The minimal excludant of a partition $λ$, $\rm{mex}(λ)$, is the smallest positive integer that is not a part of $λ$. For a positive integer $n$, $ σ\, \rm{mex}(n)$ denotes the sum of the minimal excludants of all partitions of $n$. Recently, Andr...

arxiv.org/abs/2308.13457v2

Super FiboCatalan Numbers and their Lucas Analogues

Catalan observed in 1874 that the numbers $S(m,n) = \frac{(2m)! (2n)!}{m! n! (m+n)!}$, now called the super Catalan numbers, are integers but there is still no known combinatorial interpretation for them in general, although interpretations have been...

arxiv.org/abs/1403.1298v2

On beta pentagon relations

The (quantum) pentagon relation underlies the existing constructions of three dimensional quantum topology in the combinatorial framework of triangulations. Following the recent works \cite{KashaevLuoVartanov2012,AndersenKashaev2013}, we discuss a sp...

arxiv.org/abs/2105.13421v1

Skew row-strict quasisymmetric Schur functions

Mason and Remmel introduced a basis for quasisymmetric functions known as the row-strict quasisymmetric Schur functions. This basis is generated combinatorially by fillings of composition diagrams that are analogous to the row-strict tableaux that ge...

arxiv.org/abs/1110.4014v1

Row-strict quasisymmetric Schur functions

Haglund, Luoto, Mason, and van Willigenburg introduced a basis for quasisymmetric functions called the quasisymmetric Schur function basis, generated combinatorially through fillings of composition diagrams in much the same way as Schur functions are...

en.wikipedia.org/wiki/Building_%28mathematics%29

Building (mathematics) - Wikipedia

In mathematics, a building (also Tits building, named after Jacques Tits) is a combinatorial and geometric structure which simultaneously generalizes certain

github.com/afriesen/ftprop

afriesen/ftprop

Feasible target propagation code for the paper "Deep Learning as a Mixed Convex-Combinatorial Optimization Problem" by Friesen & Domingos (2018). (⭐ 28)

arxiv.org/abs/q-alg/9610016v1

A recursion and a combinatorial formula for Jack polynomials

Heckman and Opdam introduced a non-symmetric analogue of Jack polynomials using Cherednik operators. In this paper, we derive a simple recursion formula for these polynomials and formulas relating the symmetric Jack polynomials with the non-symmetr...

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Technology Convergence Report 2025 | World Economic Forum

Jun 3, 2025 · The Technology Convergence Report 2025 offers leaders a strategic lens – the 3C Framework – to help them navigate the combinatorial innovation era.

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Technology Convergence Report 2025 | World Economic Forum

Jun 3, 2025 · The Technology Convergence Report 2025 offers leaders a strategic lens – the 3C Framework – to help them navigate the combinatorial innovation era.