See this document in CiteSeerX!

Otakar Boruvka on Minimum Spanning Tree Problem (translation of the both 1926 papers, comments, history) (2000)  (Make Corrections)  (5 citations)
Jaroslav Nesetril, Eva Milková, Helena Nesetrilová
DMATH: Discrete Mathematics



  Home/Search   Context   Related

 
View or download:
webcache.ms.mff.cuni.cz/~k...s466.ps.gz
Cached:  PDF   PS.gz  PS  Image  Update  Help

From:  webcache.ms.mff.cuni.cz/...kamser (more)
(Enter author homepages)

Rate this article: (best)
  Comment on this article  
An English translation of the frequently referenced papers by Boruvka written in Czech in 1926.

Abstract: O. Boruvka presented in 1926 the first solution of the Minimum Spanning Tree Problem (MST) which is generally regarded as a cornerstone of Combinatorial Optimization. In this paper we present the first English translation of both of his pioneering works. This is followed by survey of the development related to the MST problem and by remarks and historical perspective. Out of many available algorithms to solve MST the Boruvka's algorithm is the basis of the fastest known algorithms. (Update)

Similar documents based on text:   More   All
0.6:   A Few Remarks On The History Of MST-Problem - Nesetril (1997)   (Correct)
0.4:   An Optimal Minimum Spanning Tree Algorithm - Pettie, Ramachandran (2000)   (Correct)
0.3:   Minimum Spanning Trees for Minor-Closed Graph Classes in Parallel - Gustedt (1997)   (Correct)

BibTeX entry:   (Update)

Nesetril, Milkova, and Nesetrilova. Otakar boruvka on minimum spanning tree problem: Translation of both the 1926. http://citeseer.ist.psu.edu/nesetril00otakar.html   More

@article{ nesetril01otakar,
    author = "Nesetril and Milkova and Nesetrilova",
    title = "Otakar Boruvka on Minimum Spanning Tree Problem: Translation of Both the 1926 Papers, Comments, History",
    journal = "DMATH: Discrete Mathematics",
    volume = "233",
    year = "2001",
    url = "citeseer.ist.psu.edu/nesetril00otakar.html" }
Citations (may not include all citations):
837   Cambridge University Press (context) - Motwani, Raghavan - 1995
717   Theory of Linear and Integer Programming (context) - Schrijver - 1986
97   Trans -- dichotomous algorithms for minimum spanning trees a.. (context) - Fredman, Willard - 1966
53   Applications of path compressions on balanced trees (context) - Tarjan - 1979
47   A randomized linear--time algorithm to find minimum spanning.. - Karger, Klein et al. - 1995
45   Efficient algorithms for finding minimum spanning trees in u.. (context) - Gabov, Galil et al. - 1986
41   the shortest spanning subtree of a graph and the travelling .. (context) - Kruskal - 1956
33   the history of the minimum spanning tree problem (context) - Graham, Hell - 1985
33   Verification and sensitivity analysis of minimum spanning tr.. - Dixon, Rauch et al. - 1992
31   Springer Verlag (context) - Korte, Lov'asz et al. - 1991
27   A randomized linear--time algorithm for finding minimum span.. - Klein, Tarjan - 1994
26   A simpler minimum spanning tree verification algorithm - King - 1993
23   Optimum branchings (context) - Edmonds - 1967
23   A Minimum Spanning Tree Algorithm with Inverse -- Ackerman T.. (context) - Chazelle
21   the abstract properties of linear dependence (context) - Whitney - 1935

[Article contains additional citations not shown here]



The graph only includes citing articles where the year of publication is known.


Documents on the same site (http://webcache.ms.mff.cuni.cz/acad/kam/serie/kamser.html):   More
Combinatorics Of Mappings (Graph Homomorphisms and Their Use) - Nesetril (2000)   (Correct)
A Theory of Pfaffian Orientations I: Perfect Matchings and.. - Galluccio, Loebl (1997)   (Correct)
Midsummer Combinatorial Workshop VI - Prague Ju Ly (1999)   (Correct)

Online articles have much greater impact   More about CiteSeer.IST   Add search form to your site   Submit documents   Feedback  

CiteSeer.IST - Copyright Penn State and NEC