Fibonacci-run graphs I: Basic properties

Ö Eğecioğlu, V Iršič - Discrete Applied Mathematics, 2021 - Elsevier
Among the classical models for interconnection networks are hypercubes and Fibonacci
cubes. Fibonacci cubes are induced subgraphs of hypercubes obtained by restricting the …

[图书][B] Fibonacci Cubes with Applications and Variations

O Egecioglu, S Klavzar, M Mollard - 2023 - books.google.com
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 …

[HTML][HTML] Daisy cubes and distance cube polynomial

S Klavžar, M Mollard - European Journal of Combinatorics, 2019 - Elsevier
Abstract Let X⊆{0, 1} n. The daisy cube Q n (X) is introduced as the subgraph of Q n
induced by the union of the intervals I (x, 0 n) over all x∈ X. Daisy cubes are partial cubes …

Fibonacci-run graphs II: Degree sequences

Ö Eğecioğlu, V Iršič - Discrete Applied Mathematics, 2021 - Elsevier
Fibonacci cubes are induced subgraphs of hypercube graphs obtained by restricting the
vertex set to those binary strings which do not contain consecutive 1s. This class of graphs …

-Fibonacci Cubes: A Family of Subgraphs of Fibonacci Cubes

Ö Eğecioğlu, E Saygı, Z Saygı - International Journal of …, 2020 - World Scientific
Hypercubes and Fibonacci cubes are classical models for interconnection networks with
interesting graph theoretic properties. We consider k-Fibonacci cubes, which we obtain as …

On the domination number and the total domination number of Fibonacci cubes

E Saygi - Ars Mathematica Contemporanea, 2019 - avesis.hacettepe.edu.tr
Fibonacci cubes are the special subgraphs of the hypercubes. Their domination numbers
and total domination numbers are obtained for some small dimensions by integer linear …

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 …

The number of short cycles in Fibonacci cubes

Ö Eğecioğlu, E Saygı, Z Saygı - Theoretical Computer Science, 2021 - Elsevier
The Fibonacci cube is the subgraph of the hypercube induced by the vertices whose binary
string representations do not contain two consecutive 1s. These cubes were presented as …

Alternate Lucas Cubes

Ö Eğecioğlu, E Saygı, Z Saygı - International Journal of …, 2021 - World Scientific
We introduce alternate Lucas cubes, a new family of graphs designed as an alternative for
the well known Lucas cubes. These interconnection networks are subgraphs of Fibonacci …

-counting hypercubes in Lucas cubes

E Saygi, Ö EĞECİOĞLU - Turkish Journal of Mathematics, 2018 - journals.tubitak.gov.tr
Lucas and Fibonacci cubes are special subgraphs of the binary hypercubes that have been
proposed as models of interconnection networks. Since these families are closely related to …