Geombinatorics
A quarterly journal on open problems of combinatorial and discrete geometry and related areas.
July 2017 – April 2018
Issue 1 Issue 2 Issue 3 Issue 4
Issue 1 (July 2017)
CONTENTS XXVII(1)
Editor’s Page………………….…………………………………..4
New Essays
- The edge Folkman number Fe(3; 3;4) is greater than 19…………5
by Aleksandar Bikov and Nedyalko Nenov - A Simple Geometric Explanation of Occam’s Razor……………..15
by Olga Kosheleva and Vladik Kreinovich - The Secretive Life of the International Mathematics Union………20
by Alexander Soifer - New minimal (4; n)-regular matchstick graphs…………………….26
by Mike Winkler, Peter Dinkelacker, and Stefan Vogel
Recent Books……………………………..………….………45
CONTENTS XXVII (2)
Editor’s Page………………….…………………………………..52
New Essays
- Group Actions on Super Tic-Tac-Toe Games…………53
by Whitney George and Janine E. Janoski - Yes, No, or Maybe? 3-partitions of the set of isomorphism classes of convex polyhedra…………………….71
by Branko Grünbaum - Why the presence of point-wise (“punctate”) calcifications or linear configurations of calcifications makes breast cancer more probable: a geometric explanation………78
by Olga Kosheleva and Vladik Kreinovich - An Open Letter to All Nine Rolf Nevanlinna Prize Laureates……..84
by Alexander Soifer
CONTENTS XXVII (3)
Editor’s Page…………………………………………………………96
New Essays
- Numbers of Crossings in Drawings of the Petersen Graph…97
by Alewyn P. Burger and Heiko Harborth - The Maximum Size of Subsets Forbidding Cyclic Arithmetic Progressions…103
by Kenneth Berglund - Minimizing Positive Integer Sequences without Duplicate Substrings…109
by Braxton Carrigan, Peter Kagey and Joseph O’Brien - Laureates on Their Rolf Nevanlinna Prize and the Secrecy IMU President Shigefumi Mori…121
by Alexander Soifer - Coconut Update…126
by John E. Wetzel - On Odd Sums’ Properties of Integers…129
by Joseph Zaks and Ayal Zaks
CONTENTS XXVII (4)
Editor’s Page………………….…………………………………..136
New Essays
- On 2-Coloring the Integers to Forbid a Distance and
Monochromatic Translates of a Triangle…………137
by Kyle Binder
- Regular Matchstick Graphs with Integral Edges…………………….147
by Alewyn P. Burger, Heiko Harborth, and Meinhard Möller - Have the Russians Infiltrated Congressus Numerantium? ……..162
by Alexander Soifer
Recent Books………………………………………………………………………173