Mike Winkler, Ph.D.

activity

20142026

most citedOn the existence of 4-regular matchstick graphs

3 citations · 8 across the 14 of their papers we have counts for

collaborators

Showing 2026Show all

3 papers · 1 filter

math.GM2026

Admissible $q x + 1$ Sequences, Semiconvergents, and Rational Catalan Numbers

Mike Winkler

Let $q \geq 3$ be odd and put $m_{r} = ⌊ r lo g_{2} q ⌋$ . We count parity sequences with exactly $r$ odd entries for which the coefficient in the $q x + 1$ iteration first drops belo…

math.GM2026

Realized Rank Certificates for Matchstick Frameworks and Insertion Edges

Mike Winkler

We give an exact, checkable rank-certificate method for realized planar unit-distance frameworks. The method is motivated by Vogel's computations for matchstick graphs and by the i…

math.GM2026

Thinned Wallis-type prime products in residue classes modulo $2^{m}$

Mike Winkler

For odd primes $p$ we consider the factors $A (p) = (p - χ_{4} (p)) / (p + χ_{4} (p))$ , where $χ_{4}$ is the quadratic Dirichlet character modulo $4$ , and study products of $A (p)$ restricted to uni…

Admissible qx+1 Sequences, Semiconvergents, and Rational Catalan Numbers

Realized Rank Certificates for Matchstick Frameworks and Insertion Edges

Thinned Wallis-type prime products in residue classes modulo 2m

Admissible $q x + 1$ Sequences, Semiconvergents, and Rational Catalan Numbers

Thinned Wallis-type prime products in residue classes modulo $2^{m}$