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 …
cubes. Fibonacci cubes are induced subgraphs of hypercubes obtained by restricting the …
[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 …
[HTML][HTML] Daisy cubes and distance cube polynomial
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 …
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 …
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
Hypercubes and Fibonacci cubes are classical models for interconnection networks with
interesting graph theoretic properties. We consider k-Fibonacci cubes, which we obtain as …
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 …
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 …
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
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 …
string representations do not contain two consecutive 1s. These cubes were presented as …
Alternate Lucas Cubes
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 …
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 …
proposed as models of interconnection networks. Since these families are closely related to …