3 papers
math.CO2025
On Wegner's 8-Coloring Theorem for Planar Graphs of Maximum Degree Three
Gabriel Elvin, Hajrudin Fejzić, Youngsu Kim
We provide a simplified proof of the following special case of Wegner's conjecture: every planar graph of maximum degree at most three admits a distance-2 coloring with at most eig…
math.GM2025
Nontrivial Solutions to a Cubic Identity and the Factorization of
Hajrudin Fejzić
We investigate a variation of Nicomachus's identity in which one term in the cubic sum is replaced by a different cube. Specifically, we study the Diophantine identity \[ \sum_{j=1…
math.CA2025
The Marcinkiewicz-Zygmund Property for Riemann Differences with Geometric Nodes
Hajrudin Fejzić
We study when a Riemann difference of order possesses the Marcinkiewicz-Zygmund (MZ) property: that is, whether the conditions and im…