3 papers
math.CO2026
The size of -th order generalized Fibonacci cubes
Jianxin Wei, Yujun Yang
Let . Then the -th order Fibonacci cube is the subgraph of the hypercube induced by vertices without consecutive s. The case correspon…
math.CO2024
Associated Mersenne graphs
Jianxin Wei, Yujun Yang
In this paper, a new sub-family of Hypercubes called the \textit{associated Mersenne graphs} are introduced. The definition of associated Mersenne graphs is motiv…
math.CO2024
On a conjecture of Eǧecioǧlu and Iršič
Jianxin Wei, Yujun Yang
In 2021, {Ö}. Eǧecioǧlu, V. Iršič introduced the concept of Fibonacci-run graph as an induced subgraph of Hypercube. They conjectured that the diameter of $\mathc…