Problem 58384. Minimum number of crossings in a complete bipartite graph
A complete bipartite graph may be drawn in different ways, such that the number of line crossings differs between drawings.
To date, the question of how to draw the graph so as to minimize the number of crossings remains unsolved.
Nevertheless, an upper bound can be calculated for the number of crossings, based on the number of elements in each of the two sets comprising the graph's vertices.
Given the number of elements in each set, m and n, calculate the upper bound, b, for the minimum number of line crossings in the resulting complete bipartite graph.
Example:
m = 3;
n = 4;
b = 2
Solution Stats
Solution Comments
Show commentsProblem Recent Solvers8
Suggested Problems
-
2257 Solvers
-
568 Solvers
-
Is this triangle right-angled?
5729 Solvers
-
4144 Solvers
-
Matlab Basics - y as a function of x
489 Solvers
More from this Author45
Problem Tags
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!