Myra B. Cohen, Charles J. Colbourn, Lee A. Ives  Home/Search
Context
Related
| uvm.edu/~colbourn/src/kts21.ps Cached: PS.gz PS PDF This document uses CoBlitz to cache paper downloads. If your firewall is blocking outgoing connections to port 3125, you can use these links to download local copies.
Image Update HelpPS.gz PS PDF From: uvm.edu/~colbourn/src/papers (more) (Enter author homepages) |
Rate this article:      (best)Comment on this article |
Abstract: There are 50,024 Kirkman triple systems of order 21 admitting an automorphism of order 2. There are 13,280 Kirkman triple systems of order 21 admitting an automorphism of order 3. Together with the 192 known systems and some simple exchange operations, this leads to a collection of 63,745 nonisomorphic Kirkman triple systems of order 21. This includes all KTS(21)s having a nontrivial automorphism group. None of these is doubly resolvable. Four are quadrilateral-free, providing the rst... (Update)
Similar documents (at the sentence level):
25.2%: Kirkman Triple Systems of Orders 27, 33, and 39 - Colbourn, Ling (Correct)
Active bibliography (related documents): More All
1.6: Steiner Triple Systems of Order 19 and 21 with Subsystems of Order 7 - Kaski (Correct)
0.3: Asymptotically Optimal Erasure-Resilient Codes for Large.. - Chee, Colbourn, Ling (2000) (Correct)
0.2: NS1D0 Sequences and Anti-Pasch Steiner Triple Systems - Sagols, Colbourn (Correct)
Similar documents based on text: More All
1.2: Doubling And Tripling Constructions For Defining Sets In .. - Donovan, Khodkar, Street (Correct)
0.9: Steiner Triple Systems of Order 19 with Nontrivial.. - Colbourn, Magliveras, .. (2003) (Correct)
0.5: Solving the Kirkman's Schoolgirl Problem in a Few Seconds - Barnier, Brisset (2002) (Correct)
BibTeX entry: (Update)
@misc{ cohen-kirkman,
author = "Myra B. Cohen and Charles J. Colbourn and Lee A. Ives",
title = "Kirkman Triple Systems of Orders 21 and 27",
url = "citeseer.ist.psu.edu/301876.html" }
Citations (may not include all citations):58 Computer Science Department (context) - McKay, Guide et al. - 1990
16 Computational methods in design theory (context) - Gibbons - 1996
12 Oxford University Press (context) - Colbourn, Rosa et al. - 1999
8 Solution of Kirkman's schoolgirl problem (context) - Ray-Chaudhuri, Wilson - 1971
7 Note on an unanswered prize question (context) - Kirkman
6 Asymptotically optimal erasure-resilient codes for large dis.. - Chee, Colbourn et al. - 2000
4 A class of Steiner triple systems of order 21 and associated.. (context) - Mathon, Phelps et al. - 1981
3 The existence of Kirkman squares { doubly resolvable (context) - Colbourn, Lamken et al. - 2000
2 Lady's and Gentleman's Diary (context) - Woolhouse, combinations
2 Reprinted in Assurance Magazine (context) - Woolhouse, combinations et al.
2 rotational Steiner and Kirkman triple systems of order (context) - Mathon, Rosa - 1990
2 Steiner triple systems of order 21 with automorphisms of ord.. (context) - Tonchev - 1987
2 A completion conjecture for Kirkman triple systems (context) - Dejter, Franek et al. - 1996
Documents on the same site (http://www.emba.uvm.edu/~colbourn/src/papers.html): More
Generating Sets in Steiner Triple Systems - Colbourn, Dinitz (Correct)
Concerning the Generating Set of ... - Ling, Colbourn (Correct)
A Steiner 2-Design with an Automorphism Fixing Exactly r + 2 Points - Colbourn (1998) (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