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math.CO2026
On the Spectra of Chromatic Number and Chromatic Index of Cyclic Covers
Guantao Chen, Hein van der Holst, Rong Luo +1
For a fixed integer , we study what values of chromatic index and chromatic number can be attained by some -fold cyclic cover of a loopless multigraph. For edge-c…
math.CO2026
The Alon-Tarsi Number of Squares of Subcubic Planar Graphs without Cycles of Lengths to
Seog-Jin Kim, Xiaopan Lian, Rong Luo
The Alon--Tarsi number of a graph , defined via the graph polynomial, is a strengthening of the list chromatic number . We study the Alon--Tarsi number of s…
math.CO2026
High-Dimensional -Normed Flows
Chenxing Li, Jiaao Li, Rong Luo +1
We generalize Tutte's integer flows and the -dimensional Euclidean flows of Mattiolo, Mazzuoccolo, Rajník, and Tabarelli to \emph{-dimensional -normed nowhere-zero flows}…