Yuxiang Liu

activity

20232026

most citedSpectral radius of graphs of given size with forbidden subgraphs

1 citations · 1 across the 6 of their papers we have counts for

collaborators

Showing math.COShow all

6 papers · 1 filter

math.CO2026

Extremal spectral result of outerplanar graphs without $P_{3 \cdot l}$

Fulong Ye, Yuxiang Liu, Ligong Wang

A graph $G$ is $F$ -free if it does not contain $F$ as a subgraph. Let $spex (n, F)$ be the maximum spectral radius over all $n$ -vertex $F$ -free outerplanar graphs. For integ…

math.CO2024

Maximizing the signless Laplacian spectral radius of some theta graphs

Yuxiang Liu, Ligong Wang

Let $Q (G) = D (G) + A (G)$ be the signless Laplacian matrix of a simple graph $G$ , where $D (G)$ and $A (G)$ are the degree diagonal matrix and the adjacency matrix of $G$ , respectively. T…

math.CO2024

Extension on spectral extrema of gem-free graph with given size

Yuxiang Liu, Ligong Wang

A graph $G$ is $F$ -free if $G$ does not contain $F$ as a subgraph. Let $G (m, F)$ denote the family of $F$ -free graphs with $m$ edges and without isolated vertices. Let $S…

math.CO2024

A sharp upper bound on the spectral radius of $θ (1, 3, 3)$ -free graphs with given size

Yuxiang Liu, Ligong Wang

A graph $G$ is $F$ -free if $G$ does not contain $F$ as a subgraph. Let $ρ (G)$ be the spectral radius of a graph $G$ . Let $θ (1, p, q)$ denote the theta graph, which is obtained by con…

math.CO2024

Maxima of the $Q$ -index of 2 leaves-free graphs with given size

Yuxiang Liu, Ligong Wang, Xiaolong Jia

The $Q$ -index of graph $G$ is the largest eigenvalue of the signless Laplacian matrix of $G$ . Wang [Discrete Appl. Math. 356(2024)] proved the sharp upper bounds on the $Q$ -index o…

math.CO2023★ 1 cited

Spectral radius of graphs of given size with forbidden subgraphs

Yuxiang Liu, Ligong Wang

Let $ρ (G)$ be the spectral radius of a graph $G$ with $m$ edges. Let $S_{m - k + 1}^{k}$ be the graph obtained from $K_{1, m - k}$ by adding $k$ disjoint edges within its independent set.…

Extremal spectral result of outerplanar graphs without P3⋅l​

Maximizing the signless Laplacian spectral radius of some theta graphs

Extension on spectral extrema of gem-free graph with given size

A sharp upper bound on the spectral radius of θ(1,3,3)-free graphs with given size

Maxima of the Q-index of 2 leaves-free graphs with given size

Spectral radius of graphs of given size with forbidden subgraphs

Extremal spectral result of outerplanar graphs without $P_{3 \cdot l}$

A sharp upper bound on the spectral radius of $θ (1, 3, 3)$ -free graphs with given size

Maxima of the $Q$ -index of 2 leaves-free graphs with given size