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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
Solution to a conjecture on resistance distances of block tower graphs
Wensheng Sun, Yujun Yang, Wuxian Chen +1
Let be a connected graph. The resistance distance between two vertices and of , denoted by , is defined as the net effective resistance between them in t…
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…