TY - JOUR
T1 - Spectral radius and size conditions for fractional (a,b,l)-critical graphs
AU - Xu, Zengzhao
AU - Wang, Ligong
AU - Xi, Weige
N1 - Publisher Copyright:
© 2026 Elsevier B.V.
PY - 2026/8
Y1 - 2026/8
N2 - In recent years, research on the spectral extremal problems of fractional [a,b]-factors has attracted the attention of many scholars. The main content of our research is the generalization of fractional [a,b]-factors, namely fractional (a,b,l)-critical graph. Let a and b be two positive integers. A graph G is called a fractional (a,b,l)-critical graph if after deleting any l vertices of G the remaining graph of G has a fractional [a,b]-factor. In this paper, we present spectral radius and size conditions for a graph to be fractional (a,b,l)-critical.
AB - In recent years, research on the spectral extremal problems of fractional [a,b]-factors has attracted the attention of many scholars. The main content of our research is the generalization of fractional [a,b]-factors, namely fractional (a,b,l)-critical graph. Let a and b be two positive integers. A graph G is called a fractional (a,b,l)-critical graph if after deleting any l vertices of G the remaining graph of G has a fractional [a,b]-factor. In this paper, we present spectral radius and size conditions for a graph to be fractional (a,b,l)-critical.
KW - Fractional (a, b, l)-critical
KW - Fractional [a, b]-factor
KW - Size
KW - Spectral radius
UR - https://www.scopus.com/pages/publications/105046722181
U2 - 10.1016/j.disopt.2026.100958
DO - 10.1016/j.disopt.2026.100958
M3 - 文章
AN - SCOPUS:105046722181
SN - 1572-5286
VL - 61
JO - Discrete Optimization
JF - Discrete Optimization
M1 - 100958
ER -