(Enter summary)
Abstract: Universal traversal sequences for cycles require
length\Omega#
n
1:43
),
improving the previous bound of \Omega# n
1:33
). For d 3, universal
traversal sequences for d-regular graphs require length
\Omega#
d
0:57
n
2:43
). For constant d, the best previous bound was
\Omega# n
2:33
).
3
1. Reflecting and Universal Traversal Sequences
Universal traversal sequences were introduced by Cook (see Aleliunas et
al. [2]) as a particularly simple method for traversing graphs.... (Update)
Context of citations to this paper: More
.... sequence (Aleliunas et al. 2] Alon et al. 3] Bar Noy et al. 4] Borodin, Ruzzo, and Tompa [18] Bridgland [19] Buss and Tompa [21], Istrail [34] Karloff et al. 37] Tompa [49] A result of Borodin, Ruzzo, and Tompa [18] shows that such an automaton requires...
.... sequence (Aleliunas et al. 2] Alon et al. 3] Bar Noy et al. 4] Borodin, Ruzzo, and Tompa [16] Bridgland [17] Buss and Tompa [19], Istrail [25] Karloff et al. 26] Tompa [33] A result of Borodin, Ruzzo, and Tompa [16] shows that such an automaton requires )...
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BibTeX entry: (Update)
J. Buss and M. Tompa. Lower bounds on universal traversal sequences based on chains of length five. Information and Computation, 120(2):326--329, Aug. 1995. http://citeseer.ist.psu.edu/buss95lower.html More
@article{ buss95lower,
author = "Jonathan F. Buss and Martin Tompa",
title = "Lower Bounds on Universal Traversal Sequences Based on Chains of Length Five",
journal = "Information and Computation",
volume = "120",
number = "2",
pages = "326-329",
year = "1995",
url = "citeseer.ist.psu.edu/buss95lower.html" }
Citations (may not include all citations):
68
The electrical resistance of a graph captures its commute an..
- Chandra, Raghavan et al. - 1989 ACM DBLP
65
universal traversal sequences (context) - Aleliunas, Karp et al. - 1979
20
the cover time of random walks on graphs (context) - Kahn, Linial et al. - 1989
14
Lower bounds on the length of universal traversal sequences (context) - Borodin, Ruzzo et al. - 1992
11
Universal sequences for complete graphs (context) - Alon, Azar et al. - 1990
9
Lower bounds on universal traversal sequences for cycles and.. (context) - Tompa - 1992 ACM DBLP
5
A simple graph traversing problem (context) - Aleliunas - 1978
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