2 papers
math.CO2024
Diameter two orientability of mixed graphs
Hengzhe Li, Zhiwei Ding, Jianbing Liu +1
In 1967, Katona and Szemerédi showed that no undirected graph with vertices and fewer than edges admits an orientation of diameter two. In 1978,…
math.CO2024
A Note on Improved bounds for the Oriented Radius of Mixed Multigraphs
Hengzhe Li, Zhiwei Ding, Jianbing Liu +2
For a positive integer , let denote the smallest number such that any 2-edge connected mixed graph with radius has an oriented radius of at most . Recently, Bab…