5 papers
A characterization of tight ()-stable graphs
Yuqi Xu, Weihua Yang, Xiaxia Guan
Let k and l be two non-negative integers with k > l. A graph G is (k,l)-stable if alpha(G - S) >= alpha(G) - l for every subset S of V(G) with |S| = k, where alpha(G) denotes the i…
An excluded minor theorem for the 6-wheel
Zijun Chen, Yuqi Xu, Weihua Yang
For each integer , the wheel graph is defined as the graph obtained by connecting a single vertex to all vertices of a cycle of length . In particular, can…
A characterization of 4-connected graphs with no 6-wheel minor
Zijun Chen, Yuqi Xu, Weihua Yang
For each integer , let denote the wheel graph obtained by connecting a single vertex to all vertices of a cycle of length . In particular, is obtained from…
A characterization of 4-connected graphs with no -minor
Linsong Wei, Yuqi Xu, Weihua Yang +1
Among graphs with 13 edges, there are exactly three internally 4-connected graphs which are , cube+e and . A complete characterization of all 4-connected grap…
An excluded minor theorem for the Wagner graph plus an edge
Yuqi Xu, Weihua Yang
Let denote the unique graph obtained from the Wagner graph, also known as , by adding an edge between two vertices of distance 3 on the Hamilton cycle, which is ex…