[图书][B] Fibonacci Cubes with Applications and Variations
Fibonacci Cubes have been an extremely popular area of research since the 1990s. This
unique compendium features the state of research into Fibonacci Cubes. It expands the …
unique compendium features the state of research into Fibonacci Cubes. It expands the …
Euler numbers and diametral paths in Fibonacci cubes, Lucas cubes and alternate Lucas cubes
The diameter of a graph is the maximum distance between pairs of vertices in the graph. A
pair of vertices whose distance is equal to its diameter is called diametrically opposite …
pair of vertices whose distance is equal to its diameter is called diametrically opposite …
Fibonacci and Lucas p-cubes
J Wei, Y Yang - Discrete Applied Mathematics, 2022 - Elsevier
The Fibonacci cube Γ n is the subgraph of hypercube Q n induced by the binary strings that
contain no two consecutive 1s, and the Lucas cube Λ n is obtained from Γ n by removing …
contain no two consecutive 1s, and the Lucas cube Λ n is obtained from Γ n by removing …
Associated Mersenne graphs
J Wei, Y Yang - arXiv preprint arXiv:2407.08237, 2024 - arxiv.org
In this paper, a new sub-family of Hypercubes called the\textit {associated Mersenne graphs}
$\mathcal {M} _ {n} $ are introduced. The definition of associated Mersenne graphs is …
$\mathcal {M} _ {n} $ are introduced. The definition of associated Mersenne graphs is …
On a conjecture of E\v {g} ecio\v {g} lu and Ir\v {s} i\v {c}
J Wei, Y Yang - arXiv preprint arXiv:2401.14610, 2024 - arxiv.org
In 2021,{\" O}. E\v {g} ecio\v {g} lu, V. Ir\v {s} i\v {c} introduced the concept of Fibonacci-run
graph $\mathcal {R} _ {n} $ as an induced subgraph of Hypercube. They conjectured that the …
graph $\mathcal {R} _ {n} $ as an induced subgraph of Hypercube. They conjectured that the …
The Mostar and Wiener index of alternate Lucas cubes
The Wiener index and the Mostar index quantify two distance related properties of
connected graphs: the Wiener index is the sum of the distances over all pairs of vertices and …
connected graphs: the Wiener index is the sum of the distances over all pairs of vertices and …
On a Conjecture of EˇGeciogˇLu and IrˇSiˇC∗
J Wei, Y Yang - Available at SSRN 4868476 - papers.ssrn.com
Abstract In 2021, O. Egˇecioˇglu, V. Irˇsiˇc introduced the concept of Fibonacci-run graph Rn
as an induced subgraph of Hypercube. They conjectured that the diameter of Rn is given by …
as an induced subgraph of Hypercube. They conjectured that the diameter of Rn is given by …