Mucha; Sankowski (planar) (Bipartite Graph MCM Maximum Cardinality Matching): Difference between revisions

From Algorithm Wiki
Jump to navigation Jump to search
(Created page with "== Time Complexity == $O(V^{(\omega/{2})$}) where omega is the exponent on matrix multiplication == Space Complexity == $O(VlogV)$??? words (Paper mentions matrices with O(VlogV) nonempty entries; unclear if there are any other space-consuming objects (on first passthrough) as planar graphs only require O(V) space) == Description == == Approximate? == Exact == Randomized? == Yes, Monte Carlo == Model of Computation == Word RAM == Year == 2006 == Re...")
 
No edit summary
 
Line 5: Line 5:
== Space Complexity ==  
== Space Complexity ==  


$O(VlogV)$??? words
$O(V \log V)$??? words


(Paper mentions matrices with O(VlogV) nonempty entries; unclear if there are any other space-consuming objects (on first passthrough) as planar graphs only require O(V) space)
(Paper mentions matrices with O(VlogV) nonempty entries; unclear if there are any other space-consuming objects (on first passthrough) as planar graphs only require O(V) space)

Latest revision as of 08:55, 10 April 2023

Time Complexity

$O(V^{(\omega/{2})$}) where omega is the exponent on matrix multiplication

Space Complexity

$O(V \log V)$??? words

(Paper mentions matrices with O(VlogV) nonempty entries; unclear if there are any other space-consuming objects (on first passthrough) as planar graphs only require O(V) space)

Description

Approximate?

Exact

Randomized?

Yes, Monte Carlo

Model of Computation

Word RAM

Year

2006

Reference

https://link.springer.com/article/10.1007/s00453-005-1187-5