6 papers
A relation between Wiener index and Mostar index for daisy cubes
Michel Mollard
Daisy cubes are a class of isometric subgraphs of the hypercubes Q n. Daisy cubes include some previously well known families of graphs like Fibonacci cubes and Lucas cubes. Moreov…
Edges in Fibonacci cubes, Lucas cubes and complements
Michel Mollard
The Fibonacci cube of dimension n, denoted as , is the subgraph of the hypercube induced by vertices with no consecutive 1's. The irregularity of a graph G is the sum of |d(x…
The (non-)existence of perfect codes in Lucas cubes
Michel Mollard
The Fibonacci cube of dimension n, denoted as n , is the subgraph of the n-cube 5 Q n induced by vertices with no consecutive 1's. Ashrafi and his co-authors proved the non-exi…
Perfect codes in generalized Fibonacci cubes
Michel Mollard
The {\em Fibonacci cube} of dimension , denoted as , is the subgraph of the -cube induced by vertices with no consecutive 1's. In an article of 2016 Ashrafi and…
Daisy cubes and distance cube polynomial
Sandi Klavžar, Michel Mollard
Let X {0, 1} n. Then the daisy cube Q n (X) is introduced as the sub-graph of Q n induced by the intersection of the intervals I(x, 0 n) over all x X. Daisy cubes…
On Disjoint hypercubes in Fibonacci cubes
Sylvain Gravier, Michel Mollard, Simon Spacapan +1
The {\em Fibonacci cube} of dimension , denoted as , is the subgraph of -cube induced by vertices with no consecutive 1's. We study the maximum number of disjoin…