3 papers
math.CO2026
A complete solution to the Boots-Royle/Cao-Vince conjecture
Lele Liu, Bo Ning, Yi Wang
Boots and Royle, and independently Cao and Vince, conjectured that the join of an edge and a path on vertices is the unique planar graph of maximum adjacency spectral radius…
math.CO2026
A solution to Csikvári's conjecture and the largest matching root of -graphs
Jiang-Chao Wan, Yi Wang
In 2011, Csikvári [Electron. J. Combin. {\bf 18} (2011), P182] proved that among all graphs with a prescribed number of edges, the largest matching root is attained by a thres…
math.CO2026
Two-place Laplacian matching root integral variations are impossible
Sebastian M. CioabÄ, Lele Liu, Yi Wang
Wang, Cui, and CioabÄ introduced the Laplacian matching root integral variation of a graph and proved that it cannot occur in one place. They also showed that the two-place variat…