combinatorial

Counting possible arrangements

Combinatorial relates to combinations or arrangements of elements.

In mathematics, combinatorial analysis counts the ways objects can be selected, arranged, or grouped: combinatorial problems, combinatorial explosion.

The term appears in computing and logic where possibilities multiply rapidly.

A combinatorial approach considers all possible arrangements rather than following a single path.

mathematics

enumeration

Sequential listing of items

binomial · coefficient · counting · recurrence · lattice · probability · discrete · finite · infinite · algebraic

arrangement

permutation

Arrangement in specific order

selection · subset · arrangement · derangement · cyclic · transposition · shuffle · anagram · rearrangement · placement

complexity

exponential

Increasing by constant ratio

scalability · pruning · bounds · worst-case · asymptotic · feasibility

game

chess

Strategic board game

  • GoTerritory-capturing board game
  • strategyPlanned approach to goals
  • positionLocation or stance

minimax · endgame · puzzle · Sudoku

optimization

algorithm

Finite problem-solving procedure

routing · knapsack · assignment · matching · approximation · greedy

design

block

Solid mass, or impede

code · orthogonal · balanced · incidence · tournament · round-robin · scheduling · cryptography · experiment

Categories
Opposites
mathematical/analytical approach

combinatorialcontinuous

Without pause or gap

analytic · differential · analytical · smooth · infinitesimal

structural operation

combinatorialdisintegrative

Causing breakdown into parts

reductive · decompositional · separative · analytic · decomposing

complexity/scale

combinatorialsimple

Free of complexity

linear · tractable · polynomial · bounded · elementary

Family

combinatorics

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