5 papers · 1 filter
An Erdős--Ko--Rado theorem for cross-intersecting families in the Euclidean inner product
Jiang-Chao Wan, Yi Wang
Let be the set of all -element subsets of the set and let be two cross-intersecting families,…
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…
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 thresh…
Perturbation of the largest matching root of hypergraphs
Jiang-Chao Wan, Yi Wang
The largest matching root of a -graph is the largest real root of its matching polynomial, which is equal to the maximum modulus of all the zeros of the matching polynomial. In…
Two-place Laplacian matching root integral variations are impossible
Sebastian M. Cioabă, Lele Liu, Yi Wang
Wang, Cui, and Cioabă 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 variati…