The IRMA Community
Newsletters
Research IRM
Click a keyword to search titles using our InfoSci-OnDemand powered search:
|
The Sub-Disciplines
Abstract
This chapter dives into the rich diversity of combinatorics, emphasizing how it goes far beyond simple combinatorial calculation. Six important subdisciplines are presented: combinatorial design theory, focused on the construction of structures with particular properties (such as block drawings); code theory, which uses combinatorics to design and analyse codes for reliable data transmission, with examples like Hamming and Golay codes; geometric combinatorics, which investigates the combinatorial properties of geometric objects; algebraic combinatorics, which links combinatorics to algebra to solve problems through algebraic tools and includes algorithms like Jarvis for convex hulls; topological combinatorics, which creates a bridge between combinatorics and the topological properties of objects and examines discrete structures using topological methods, such as Sperner's theorem and Delaunay triangulation; and finally, experimental design, which explores the link between combinatorics and the structuring of experiments to obtain meaningful results.
Related Content
|
.
© 2026.
18 pages.
|
|
.
© 2026.
16 pages.
|
|
.
© 2026.
18 pages.
|
|
.
© 2026.
26 pages.
|
|
.
© 2026.
32 pages.
|
|
.
© 2026.
30 pages.
|
|
.
© 2026.
24 pages.
|
|
|