3 papers
math.CO2026
Signless Laplacian index conditions for trebly chorded cycles in graphs with given order
Jin Cai, Bo Zhou
It is proved that for a graph of order , where , if the signless Laplacian index is larger than or equal to certain value depending on , then the graph contains a tre…
math.CO2026
Extremal -index problem in outerplanar graphs
Jin Cai, Leyou Xu, Bo Zhou
Outerplanar Turán problem has received considerable attention recently. We study the spectral version via -index. We determine the unique graph that maximizes the -index amo…
math.CO2025
Eigenvalue conditions implying edge-disjoint spanning trees and a forest with constraints
Jin Cai, Bo Zhou
Let be a nontrivial graph with minimum degree and an integer with . In the literature, there are eigenvalue conditions that imply contains edge-disjoin…