trails of triples in steiner triple systems
play

Trails of triples in Steiner triple systems Daniel Horsley (Monash - PowerPoint PPT Presentation

Mar 24, 2023 •234 likes •1.4k views

Trails of triples in Steiner triple systems Daniel Horsley (Monash University, Australia) Joint work with Charles Colbourn and Chengmin Wang Steiner triple systems and block colourings Steiner triple systems and block colourings 1 2 3 1 9

  1. Proof of lemma

  2. Proof of lemma

  3. Proof of lemma

  4. Proof of lemma

  5. Proof of lemma

  6. Proof of lemma

  7. Proof of lemma

  8. Proof of lemma

  9. Proof of lemma

  10. Proof of lemma

  11. Proof of lemma

  12. Proof of lemma

  13. Proof of lemma

  14. Proof of lemma

  15. Proof of lemma

  16. Proof of lemma

  17. Proof of lemma

  18. Proof of lemma

  19. Proof of lemma

  20. Proof of lemma

  21. Proof of lemma

  22. Proof of lemma

  23. Example: an STS(73)

  24. Example: an STS(73)

  25. Example: an STS(73)

  26. Example: an STS(73)

  27. Example: an STS(73)

  28. Example: an STS(73)

  29. Example: an STS(73)

  30. Example: an STS(73)

  31. Example: an STS(73)

  32. Example: an STS(73)

  33. Example: an STS(73)

  34. Example: an STS(73)

  35. Example: an STS(73)

  36. Example: an STS(73)

  37. Example: an STS(73)

  38. Example: an STS(73)

  39. Example: an STS(73)

  40. Example: an STS(73)

  41. Example: an STS(73)

  42. Example: an STS(73)

  43. Example: an STS(73)

  44. Example: an STS(73)

  45. Example: an STS(73)

  46. Example: an STS(73)

  47. Example: an STS(73)

  48. Example: an STS(73)

  49. Example: an STS(73)

  50. Example: an STS(73)

  51. Example: an STS(73)

  52. Example: an STS(73)

  53. Example: an STS(73)

Recommend

Another family of Steiner triple systems without almost parallel classes Daniel Horsley (Monash

Another family of Steiner triple systems without almost parallel classes Daniel Horsley (Monash

Another family of Steiner triple systems without almost parallel classes Daniel Horsley (Monash University) Joint work with Darryn Bryant (University of Queensland) Steiner triple systems Steiner triple systems Steiner triple systems Steiner

1.16k views • 86 slides
An infinite family of Steiner triple systems without parallel classes Daniel Horsley (Monash

An infinite family of Steiner triple systems without parallel classes Daniel Horsley (Monash

An infinite family of Steiner triple systems without parallel classes Daniel Horsley (Monash University) Joint work with Darryn Bryant (University of Queensland) Part 1: Steiner triple systems and parallel classes Steiner triple systems

1.05k views • 94 slides
Steiner Triple Systems Lucia Moura School of Electrical Engineering and Computer Science

Steiner Triple Systems Lucia Moura School of Electrical Engineering and Computer Science

STS Intro Constructing STSs using Latin Squares Steiner Triple Systems Lucia Moura School of Electrical Engineering and Computer Science University of Ottawa lucia@eecs.uottawa.ca Winter 2017 Steiner Triple Systems Lucia Moura STS Intro

392 views • 20 slides
The theory of Steiner triple systems Silvia Barbina joint work with Enrique Casanovas LC2018,

The theory of Steiner triple systems Silvia Barbina joint work with Enrique Casanovas LC2018,

The theory of Steiner triple systems Silvia Barbina joint work with Enrique Casanovas LC2018, Udine Silvia Barbina joint work with Enrique Casanovas The theory of Steiner triple systems Steiner triple systems Definition A finite Steiner

897 views • 65 slides
The Trouble with Triples: Difficulties with the triple scenario and how they might be overcome

The Trouble with Triples: Difficulties with the triple scenario and how they might be overcome

The Trouble with Triples: Difficulties with the triple scenario and how they might be overcome Joseph OBrien Antognini August 5, 2015 The trouble with triples... ? Kozai Thompson (2011) Katz & Dong (2012) Kushnir et al. (2013) The

279 views • 17 slides
Semantic Web & BI Triples (Quads) Sources of contextualized triple graphs Analysis. &

Semantic Web & BI Triples (Quads) Sources of contextualized triple graphs Analysis. &

Semantic Web & BI Triples (Quads) Sources of contextualized triple graphs Analysis. & Discovery Declarative application modelling Sets API & Functional Model Triples and their contexts are arranged in a three sets elements

321 views • 9 slides
Solving Steiner Triple Covering Problems Jeff Linderoth Dept. of Industrial and Systems

Solving Steiner Triple Covering Problems Jeff Linderoth Dept. of Industrial and Systems

Solving Steiner Triple Covering Problems Jeff Linderoth Dept. of Industrial and Systems Engineering Univ. of Wisconsin-Madison linderoth@wisc.edu Jim Ostrowski University of Waterloo Fabrizio Rossi Stefano Smriglio Universit` a di

390 views • 22 slides
Linear coordinates for perfect codes and Steiner triple systems F.I. Soloveva, I.Yu. Mogilnykh

Linear coordinates for perfect codes and Steiner triple systems F.I. Soloveva, I.Yu. Mogilnykh

Basic definitions Linear coordinates of perfect codes Symmetry groups of Mollard codes Propelinear perfect codes Linear coordinates for perfect codes and Steiner triple systems F.I. Soloveva, I.Yu. Mogilnykh Sobolev Institute of

756 views • 52 slides
More ( a, b, c ) s of Pythagorean triples Darryl McCullough University of Oklahoma March 3,

More ( a, b, c ) s of Pythagorean triples Darryl McCullough University of Oklahoma March 3,

More ( a, b, c ) s of Pythagorean triples Darryl McCullough University of Oklahoma March 3, 2003 1 A Pythagorean triple (PT) is an ordered triple ( a, b, c ) of positive integers such that a 2 + b 2 = c 2 . When a and b are relatively prime,

541 views • 19 slides
The ( a, b, c ) s of Pythagorean triples Darryl McCullough University of Oklahoma September

The ( a, b, c ) s of Pythagorean triples Darryl McCullough University of Oklahoma September

The ( a, b, c ) s of Pythagorean triples Darryl McCullough University of Oklahoma September 10, 2001 1 A Pythagorean triple (PT) is an ordered triple ( a, b, c ) of positive integers such that a 2 + b 2 = c 2 . When a and b are relatively

405 views • 23 slides
Recursive enumeration of Pythagorean triples Darryl McCullough University of Oklahoma March 28,

Recursive enumeration of Pythagorean triples Darryl McCullough University of Oklahoma March 28,

Recursive enumeration of Pythagorean triples Darryl McCullough University of Oklahoma March 28, 2003 1 A Pythagorean triple (PT) is an ordered triple ( a, b, c ) of positive integers such that a 2 + b 2 = c 2 . When a and b are relatively

627 views • 15 slides
Find matching triples Es. SELECT * WHERE { ?s rdf:type dbo:Film. } LIMIT 10 ?s is a

Find matching triples Es. SELECT * WHERE { ?s rdf:type dbo:Film. } LIMIT 10 ?s is a

Security & Knowledge Management a.a. 2019/20 Find matching triples Es. SELECT * WHERE { ?s rdf:type dbo:Film. } LIMIT 10 ?s is a variable, the result of the query will list all values of ?s that match with a triple 1

710 views • 29 slides
1-Steiner Routing by Kahng/Robins Perform 1-Steiner Routing by Kahng/Robins Need an initial

1-Steiner Routing by Kahng/Robins Perform 1-Steiner Routing by Kahng/Robins Need an initial

1-Steiner Routing by Kahng/Robins Perform 1-Steiner Routing by Kahng/Robins Need an initial MST: wirelength is 20 16 locations for Steiner points Practical Problems in VLSI Physical Design 1-Steiner Algorithm (1/17) First 1-Steiner

608 views • 17 slides
Vat Phou and Champasaks trails Champasaks Highlights Archaeological trails Cultural

Vat Phou and Champasaks trails Champasaks Highlights Archaeological trails Cultural

Vat Phou and Champasaks trails Champasaks Highlights Archaeological trails Cultural trails Historical trails Natural trails Discover Vat Phou and Champasaks cultural and historic landscape by exploring thematjc trails 8 7 2 3 6

91 views • 6 slides
Trails of the World Millions of outdoor enthusiasts exploring and sharing great trails and

Trails of the World Millions of outdoor enthusiasts exploring and sharing great trails and

Trails of the World Millions of outdoor enthusiasts exploring and sharing great trails and pictures .com 10M Trails Community 4M Users 10M Trails 4M Registered Users 17M Pictures & Videos 4M Trails 75 Activities 2M Trails 190

191 views • 6 slides
Generation of Verification Conditions Andreas Podelski November 15, 2011 mechanization of

Generation of Verification Conditions Andreas Podelski November 15, 2011 mechanization of

Generation of Verification Conditions Andreas Podelski November 15, 2011 mechanization of correctness proof given a Hoare triple { } C { } , a derivation is a sequence of Hoare triples, each Hoare triple is an axiom (skip, update) or

818 views • 61 slides
Trails and Networks: Loom; Network Representation of Trails Mihovil Bartulovic

Trails and Networks: Loom; Network Representation of Trails Mihovil Bartulovic

<Your Name> Trails and Networks: Loom; Network Representation of Trails Mihovil Bartulovic mbartulovic@cmu.edu Dr. Kathleen M. Carley kathleen.carley@cs.cmu.edu Center for Computational Analysis of Social and Organizational Systems

301 views • 18 slides
+ Trails Inter-connectivity Project; Demo and Briefing 11/28/2018 USGS National Geospatial

+ Trails Inter-connectivity Project; Demo and Briefing 11/28/2018 USGS National Geospatial

+ Trails Inter-connectivity Project; Demo and Briefing 11/28/2018 USGS National Geospatial Program Core Science Systems + 2 Vision: Connect trails systems to expand recreational opportunities on the Nations public lands + 3

563 views • 35 slides
Trails and Networks: From Trails to Networks and Higher-order Networks Mihovil Bartulovic

Trails and Networks: From Trails to Networks and Higher-order Networks Mihovil Bartulovic

CASOS Trails and Networks: From Trails to Networks and Higher-order Networks Mihovil Bartulovic mbartulovic@cmu.edu Dr. Kathleen M. Carley kathleen.carley@cs.cmu.edu Center for Computational Analysis of Social and Organizational Systems

159 views • 15 slides
Rudolf Steiner (1861 1925) Orla, Margaret and Hannah Rudolf Steiner Was an Austrian

Rudolf Steiner (1861 1925) Orla, Margaret and Hannah Rudolf Steiner Was an Austrian

Forest School July 2015 Rudolf Steiner (1861 1925) Orla, Margaret and Hannah Rudolf Steiner Was an Austrian philosopher, social reformer, architect, artist and scientist. He founded the first Steiner school in Stuttgart, Germany in

664 views • 25 slides
Trails and Networks: Loom; Going from Trails to Networks and Networks to Trails Mihovil

Trails and Networks: Loom; Going from Trails to Networks and Networks to Trails Mihovil

<Your Name> Trails and Networks: Loom; Going from Trails to Networks and Networks to Trails Mihovil Bartulovic mbartulovic@cmu.edu Dr. Kathleen M. Carley kathleen.carley@cs.cmu.edu Center for Computational Analysis of Social and

393 views • 18 slides
Presented by: Len Steiner Steiner Consulting Group, 800.526.4612 Main Discussion Points

Presented by: Len Steiner Steiner Consulting Group, 800.526.4612 Main Discussion Points

MICA 2017 Annual General Meeting & Conference Westin Gaslamp Hotel, San Diego, CA October 24 to 27, 2017 supporting and promoting imported meat Presented by: Len Steiner Steiner Consulting Group, 800.526.4612 Main Discussion

716 views • 68 slides
On the integrality gap of hypergraphic Steiner tree relaxations Neil Olver Department of

On the integrality gap of hypergraphic Steiner tree relaxations Neil Olver Department of

On the integrality gap of hypergraphic Steiner tree relaxations Neil Olver Department of Mathematics, MIT Aussois, January 2012 Joint work with Michel Goemans, Thomas Rothvo and Rico Zenklusen. Steiner tree T erminals Steiner nodes 2 /

1.21k views • 51 slides
E-bikes and Trails: Measuring Impact and Acceptance of Class 1 E-bikes on Trails Presentation

E-bikes and Trails: Measuring Impact and Acceptance of Class 1 E-bikes on Trails Presentation

E-bikes and Trails: Measuring Impact and Acceptance of Class 1 E-bikes on Trails Presentation Overview Relevant legislation JCOS study design Current findings Decision on Class I on JCOS paved trails E-bike demo Discussion HB 17-1151

922 views • 32 slides

More recommend