𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Independent collections of translates of boxes and a conjecture due to Grünbaum

✍ Scribed by Daniel Q. Naiman; Henry P. Wynn


Publisher
Springer
Year
1993
Tongue
English
Weight
302 KB
Volume
9
Category
Article
ISSN
0179-5376

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


A conjecture of Borodin and a coloring o
✍ Dieter Rautenbach 📂 Article 📅 2008 🏛 John Wiley and Sons 🌐 English ⚖ 114 KB

## Abstract In 1976, Borodin conjectured that every planar graph has a 5‐coloring such that the union of every __k__ color classes with 1 ≤ __k__ ≤ 4 induces a (__k__—1)‐degenerate graph. We prove the existence of such a coloring using 18 colors. © 2008 Wiley Periodicals, Inc. J Graph Theory 58:139

Proof of a conjecture of Burr, Grünbaum,
✍ Jacob E. Goodman 📂 Article 📅 1980 🏛 Elsevier Science 🌐 English ⚖ 926 KB

We establish a duality principle for arrangements of pseudolines in the projective plane, and thereby prove the conjecture of Burr, Griinbaum, and Sloane that the solution T(p) of the "orchard problem" for pseudoline arrangements and the solution r(p) of the dual problem xe equa1.

Power of the linkage test for a heteroge
✍ Dr. Maria Martinez; Lynn R. Goldin; D. C. Rao 📂 Article 📅 1990 🏛 John Wiley and Sons 🌐 English ⚖ 688 KB

We have conducted a simulation study in small pedigrees to investigate the power to detect linkage and heterogeneity for a disorder due to either one of two independent disease loci. We have considered a highly polymorphic marker locus (PIC = 70%) linked to one disease locus and unlinked to the seco