1 @inproceedings{ alstrup98marked,
2 author = "Stephen Alstrup and Thore Husfeldt and Theis Rauhe",
3 title = "Marked Ancestor Problems",
4 booktitle = "{IEEE} Symposium on Foundations of Computer Science",
7 url = "citeseer.ist.psu.edu/alstrup98marked.html" }
9 @inproceedings{ bender00lca,
10 author = "Michael A. Bender and Martin Farach-Colton",
11 title = "The {LCA} Problem Revisited",
12 booktitle = "Latin American Theoretical {INformatics}",
15 url = "citeseer.ist.psu.edu/bender00lca.html" }
17 @inproceedings{ frederickson91ambivalent,
18 author = "Greg N. Frederickson",
19 title = "Ambivalent Data Structures for Dynamic 2-Edge-Connectivity and $k$ Smallest Spanning Trees",
20 booktitle = "{IEEE} Symposium on Foundations of Computer Science",
23 url = "citeseer.ist.psu.edu/frederickson91ambivalent.html" }
25 @article{ tarjan84setunion,
26 author = {Robert E. Tarjan and Jan van Leeuwen},
27 title = {Worst-case Analysis of Set Union Algorithms},
34 doi = {http://doi.acm.org/10.1145/62.2160},
35 publisher = {ACM Press},
36 address = {New York, NY, USA},
39 @article{ alstrup97optimal,
40 author = "Stephen Alstrup and Jens P. Secher and Maz Spork",
41 title = "Optimal On-Line Decremental Connectivity in Trees",
42 journal = "Information Processing Letters",
47 url = "citeseer.ist.psu.edu/alstrup97optimal.html" }
49 @inproceedings{ karkkainen03simple,
50 author = "J. K{\"a}rkk{\"a}inen and P. Sanders",
51 title = "Simple linear work suffix array construction",
52 booktitle = "Proc. 13th International Conference on Automata, Languages and Programming",
53 publisher = "Springer Verlag",
55 url = "citeseer.ist.psu.edu/arkk03simple.html" }
57 @article{ ukkonen95line,
58 author = "Esko Ukkonen",
59 title = "On-Line Construction of Suffix Trees",
60 journal = "Algorithmica",
65 url = "citeseer.ist.psu.edu/ukkonen95line.html" }
67 @inproceedings { fw90trans,
68 author = "M. Fredman and D. E. Willard",
69 title = "{Trans-dichotomous algorithms for minimum spanning trees and shortest paths}",
70 booktitle = "{Proceedings of FOCS'90}",
76 author = {Peter van Emde Boas},
77 title = {Preserving Order in a Forest in Less Than Logarithmic Time
79 journal = {Inf. Process. Lett.},
84 bibsource = {DBLP, http://dblp.uni-trier.de}
87 @inproceedings{thorup03ac0,
88 author = {Mikkel Thorup},
89 title = {On AC0 implementations of fusion trees and atomic heaps},
90 booktitle = {SODA '03: Proceedings of the fourteenth annual ACM-SIAM symposium on Discrete algorithms},
92 isbn = {0-89871-538-5},
94 location = {Baltimore, Maryland},
95 publisher = {Society for Industrial and Applied Mathematics},
96 address = {Philadelphia, PA, USA},
99 @article{ benamram95what,
100 author = "Ben-Amram",
101 title = "What is a ``Pointer Machine''?",
102 journal = "SIGACTN: SIGACT News (ACM Special Interest Group on Automata and Computability Theory)",
105 url = "citeseer.ist.psu.edu/ben-amram95what.html" }
107 @unpublished { demaine,
108 author = "Erik Demaine",
109 title = "{Advanced Data Structures}",
110 note = "{MIT Lecture Notes}",
114 @article{ matsui:planar,
115 author = "Tomomi Matsui",
116 title = "{The Minimum Spanning tree Problem on a Planar Graph}",
117 journal = "Discrete Applied Mathematics",
121 url = "citeseer.nj.nec.com/2319.html"
124 @article{ chazelle:ackermann,
125 author = "Bernard Chazelle",
126 title = "{A Minimum Spanning Tree Algorithm with Inverse-Ackermann Type Complexity}",
129 pages = "1028--1047",
133 @article{ nesetril:history,
134 author = "Jaroslav Ne{\v{s}}et{\v{r}}il",
135 title = "{Some remarks on the history of MST-problem}",
136 journal = "Archivum Mathematicum",
142 @article{ nesetril:boruvka,
143 author = "Jaroslav Ne{\v{s}}et{\v{r}}il and E. Milkov{\'a} and H. Ne{\v{s}}et{\v{r}}ilov{\'a}",
144 title = "{Otakar Bor{\accent23u}vka on Minimum Spanning Tree Problem}",
145 journal = "Discrete Mathematics",
146 volume = "233(1--3)",
151 @unpublished { nesetril:minors,
152 author = "Jaroslav Ne{\v{s}}et{\v{r}}il and Patrice Ossona de Mendez",
153 title = "{Colorings and Homomorphism of Minor Closed Classes}",
154 note = "To appear in {\it Pollack-Goodman Festschrift,} Springer Verlag, 2002."
157 @article { boruvka:ojistem,
158 author = "Otakar Bor{\accent23u}vka",
159 title = "{O jist\'em probl\'emu minim\'aln\'\i{}m (About a Certain Minimal Problem)}",
160 journal = "Pr\'ace mor. p\v{r}\'\i{}rodov\v{e}d. spol. v~Brn\v{e}",
164 note = "Czech with German summary"
168 author = "Robert E. Tarjan",
169 title = "{Data structures and network algorithms}",
170 series = "{CMBS-NSF Regional Conf. Series in Appl. Math.}",
176 @article { gh:history,
177 author = "R. L. Graham and P. Hell",
178 title = "{On the history of the minimum spanning tree problem}",
179 journal = "{Annals of the History of Computing}",
185 @techreport { pettie:ackermann,
186 author = "Seth Pettie",
187 title = "{Finding minimum spanning trees in $O(m\alpha(m,n))$ time}",
188 institution = "Univ. of Texas at Austin",
194 @inproceedings { pettie:optimal,
195 author = "Seth Pettie and Vijaya Ramachandran",
196 title = "{An Optimal Minimum Spanning Tree Algorithm}",
197 booktitle = "{Proceedings of ICALP'2000}",
199 publisher = "Springer Verlag",
203 @article { karger:randomized,
204 author = "D. R. Karger and P. N. Klein and R. E. Tarjan",
205 title = "{Linear expected-time algorithms for connectivity problems}",
212 @article { frederickson:online,
213 author = "Greg N. Frederickson",
214 title = "{Data structures for on-line updating of minimum spanning trees}",
215 journal = "{SIAM Journal on Computing}",
222 author = "Martin Mare\v{s}",
223 title = "{Two linear time algorithms for MST on minor closed graph classes}",
224 journal = "{Archivum Mathematicum}",
230 @article{ ft:fibonacci,
231 author = {Michael L. Fredman and Robert Endre Tarjan},
232 title = {Fibonacci heaps and their uses in improved network optimization algorithms},
239 doi = {http://doi.acm.org/10.1145/28869.28874},
240 publisher = {ACM Press},
241 address = {New York, NY, USA},
244 @article{ komlos:verify,
245 author = {J{\'a}nos Koml{\'o}s},
246 title = {Linear verification for spanning trees.},
247 journal = {Combinatorica},
252 bibsource = {DBLP, http://dblp.uni-trier.de}
255 @inproceedings{ king:verify,
256 author = "Valerie King",
257 title = "A Simpler Minimum Spanning Tree Verification Algorithm",
258 booktitle = "Workshop on Algorithms and Data Structures",
261 url = "citeseer.ist.psu.edu/king95simpler.html" }
264 author = "R. E. Gomory and T. C. Hu",
265 title = "Multi-Terminal Network Flows",
266 journal = "{Journal of SIAM}",
273 @article{ nagaiba:conn,
274 author = {Hiroshi Nagamochi and Toshihide Ibaraki},
275 title = {Computing edge-connectivity in multigraphs and capacitated graphs},
276 journal = {SIAM J. Discret. Math.},
282 doi = {http://dx.doi.org/10.1137/0405004},
283 publisher = {Society for Industrial and Applied Mathematics},
284 address = {Philadelphia, PA, USA},
287 @article{ alon:matching,
288 author = {Noga Alon},
289 title = {A simple algorithm for edge-coloring bipartite multigraphs},
290 journal = {Inf. Process. Lett.},
296 doi = {http://dx.doi.org/10.1016/S0020-0190(02)00446-5},
297 publisher = {Elsevier North-Holland, Inc.},
298 address = {Amsterdam, The Netherlands, The Netherlands},
302 author = "Ji\v{r}\'\i{} Matou\v{s}ek and Jaroslav Ne\v{s}et\v{r}il",
303 title = "{Kapitoly z~diskr\'etn\'\i{} matematiky}",
305 publisher = "Karolinum",
310 author = "Ji\v{r}\'\i{} Demel",
311 title = "{Grafy a jejich aplikace}",
313 publisher = "Academia",
318 author = "Alexander Schrijver",
319 title = "{Combinatorial Optimization --- Polyhedra and Efficiency}",
320 series = "Algorithms and Combinatorics",
323 publisher = "Springer Verlag"
327 author = "Lud'ek Ku\v{c}era",
328 title = "{Kombinatorick\'e algoritmy}",
334 @article{ boyer:cutting,
335 title={{On the cutting edge: Simplified $\O(n)$ planarity by edge addition}},
336 author={Boyer, J.M. and Myrvold, W.J.},
337 journal={Journal of Graph Algorithms and Applications},
344 @article{ tarjan:planarity,
345 title={{Efficient Planarity Testing}},
346 author={Hopcroft, J. and Tarjan, R.},
347 journal={Journal of the ACM (JACM)},
352 publisher={ACM Press New York, NY, USA}
355 @article{ schnyder:grid,
356 title={{Embedding planar graphs on the grid}},
357 author={Schnyder, W.},
358 journal={Proceedings of the first annual ACM-SIAM symposium on Discrete algorithms},
361 publisher={Society for Industrial and Applied Mathematics Philadelphia, PA, USA}
364 @article{ chrobak:grid,
365 title={{A linear-time algorithm for drawing a planar graph on a grid}},
366 author={Chrobak, M. and Payne, T. H.},
367 journal={Information Processing Letters},
372 publisher={Elsevier Science}
375 @inproceedings{ thorup:ac0,
376 author = {Mikkel Thorup},
377 title = {{On ${\rm AC}^0$ Implementations of Fusion Trees and Atomic Heaps}},
378 booktitle = {SODA '03: Proceedings of the fourteenth annual ACM-SIAM symposium on Discrete algorithms},
380 isbn = {0-89871-538-5},
382 location = {Baltimore, Maryland},
383 publisher = {Society for Industrial and Applied Mathematics},
384 address = {Philadelphia, PA, USA},
387 @article{ kruskal:mst,
388 title={{On the Shortest Spanning Subtree of a Graph and the Traveling Salesman Problem}},
389 author={Kruskal Jr, J.B.},
390 journal={Proceedings of the American Mathematical Society},
399 title={{Graph Theory}},
400 author={Diestel, R.},
402 publisher={Springer-Verlag Berlin and Heidelberg GmbH \& Co. K}
405 @article{ thorup:usssp,
406 title={{Undirected single-source shortest paths with positive integer weights in linear time}},
408 journal={Journal of the ACM (JACM)},
413 publisher={ACM Press New York, NY, USA}
417 title={{Integer priority queues with decrease key in constant time and the single source shortest paths problem}},
419 journal={Proceedings of the thirty-fifth ACM symposium on Theory of computing},
422 publisher={ACM Press New York, NY, USA}
425 @article{ thorup:isort,
426 title={{Integer Sorting in 0 (n sqrt (log log n)) Expected Time and Linear Space}},
427 author={Han, Y. and Thorup, M.},
428 journal={Proceedings of the 43rd Symposium on Foundations of Computer Science},
431 publisher={IEEE Computer Society Washington, DC, USA}
435 title={{Deterministic sorting in O (nloglogn) time and linear space}},
437 journal={Journal of Algorithms},
445 @techreport{ burrows:bwt,
446 title={{A block-sorting lossless data compression algorithm}},
447 author={Burrows, M. and Wheeler, D.J.},
450 institution={Digital Systems Research Center}
453 @article{ weihe:paths,
454 title={{Edge-Disjoint $(s,t)$-Paths in Undirected Planar Graphs in Linear Time}},
456 journal={Journal of Algorithms},
465 title={{An $\O({\vert V\vert}^3)$ algorithm for finding maximum flows in networks}},
466 author={Malhotra, V. and Kumar, M.P. and Maheshwari, S.N.},
467 journal={Information Processing Letters},
475 title={{Efficient string matching: an aid to bibliographic search}},
476 author={Aho, A.V. and Corasick, M.J.},
477 journal={Communications of the ACM},
482 publisher={ACM Press New York, NY, USA}
485 @article{ hopcroft:matching,
486 title={{An 2 5 n algorithm for maximum matchings in bipartite graphs}},
487 author={Hopcroft, J.E. and Karp, R.M.},
488 journal={SIAM Journal on Computing},