Results 1 to 10 of about 90 (77)

Connectivity of Fibonacci cubes, Lucas cubes and generalized cubes [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2015
Graph ...
Jernej Azarija   +3 more
doaj   +5 more sources

Linear recognition of generalized Fibonacci cubes $Q_h(111)$ [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2016
The generalized Fibonacci cube $Q_h(f)$ is the graph obtained from the $h$-cube $Q_h$ by removing all vertices that contain a given binary string $f$ as a substring.
Yoomi Rho, Aleksander Vesel
doaj   +3 more sources

Generalized Fibonacci cubes

open access: yesDiscrete Mathematics, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sandi Klavžar   +2 more
exaly   +2 more sources

On the Wiener index of generalized Fibonacci cubes and Lucas cubes

open access: yesDiscrete Applied Mathematics, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sandi Klavžar, Yoomi Rho
exaly   +2 more sources

A negative answer to a problem on generalized Fibonacci cubes

open access: yesDiscrete Mathematics, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Heping Zhang   +2 more
exaly   +3 more sources

The existence of perfect codes in a family of generalized Fibonacci cubes [PDF]

open access: yesInformation Processing Letters, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Michel Mollard
exaly   +3 more sources

On the existence of cycles of every even length on generalized Fibonacci cubes

open access: yesLe Matematiche, 1996
A new topology for the interconnection of computing nodes in multiprocessors systems is the generalized Fibonacci cube.It can be embedded as a subgraph in the Boolean cube and it is also a supergraph of other structures.
Norma Zagaglia Salvi
doaj   +2 more sources

Edge General Position Sets in Fibonacci and Lucas Cubes

open access: yesBulletin of the Malaysian Mathematical Sciences Society, 2023
AbstractA set of edges$$X\subseteq E(G)$$X⊆E(G)of a graphGis an edge general position set if no three edges fromXlie on a common shortest path inG. The cardinality of a largest edge general position set ofGis the edge general position number ofG. In this paper, edge general position sets are investigated in partial cubes.
Sandi Klavžar, Elif Tan
openaire   +7 more sources

On isomorphism classes of generalized Fibonacci cubes

open access: yesEuropean Journal of Combinatorics, 2016
The generalized Fibonacci cube $Q_d(f)$ is the subgraph of the $d$-cube $Q_d$ induced on the set of all strings of length $d$ that do not contain $f$ as a substring. It is proved that if $Q_d(f) \cong Q_d(f')$ then $|f|=|f'|$. The key tool to prove this result is a result of Guibas and Odlyzko about the autocorrelation polynomial associated to a binary
Jernej Azarija   +4 more
openaire   +3 more sources

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