5 papers
A note on the Ratio and Inertia Bounds for the -Independence Number
Jun Gao, Jie Ma, Oleg Pikhurko
The -th power of a graph is the graph on the same vertex set where the edge set consists of those pairs of distinct vertices of that are at distance at most fr…
SkyShield: Occupancy as a Safety Interface for Low-Altitude UAV Autonomy
Jie Gao, Jie Ma, Kaihui Lin +4
For low-altitude Unmanned Aerial Vehicle (UAV) autonomy, 3D spatial understanding is not merely a perception objective, but the safety interface between human instructions and phys…
Phase transition of degenerate Turán problems in -norms
Jun Gao, Xizhi Liu, Jie Ma +1
For a positive real number , the -norm of a graph is the sum of the -th powers of all vertex degrees. We study the maximum -norm $\ma…
On two cycles of consecutive even lengths
Jun Gao, Binlong Li, Jie Ma +1
Bondy and Vince showed that every graph with minimum degree at least three contains two cycles of lengths differing by one or two.We prove the following average degree counterpart…
Tight bounds towards a conjecture of Gallai
Jun Gao, Jie Ma
We prove that for , if is an -vertex graph with chromatic number but any its proper subgraph has smaller chromatic number, then contains at most c…