10 citations · 14 across the 4 of their papers we have counts for
4 papers · 1 filter
Neighbor connectivity of -ary -cubes
Tomáš Dvořák, Mei-Mei Gu
The neighbor connectivity of a graph is the least number of vertices such that removing their closed neighborhoods from results in a graph that is disconnected, complete or…
Generalized Gray codes with prescribed ends of small dimensions
Tomáš Dvořák, Václav Koubek
Given pairwise distinct vertices of the -dimensional hypercube such that the distance of and is odd, are there paths between $α_i…
Generalized Gray codes with prescribed ends
Tomáš Dvořák, Petr Gregor, Václav Koubek
An -bit Gray code is a sequence of all -bit strings such that consecutive strings differ in a single bit. It is well-known that given , an -bit Gray code…
Matchings of quadratic size extend to long cycles in hypercubes
Tomáš Dvořák
Ruskey and Savage in 1993 asked whether every matching in a hypercube can be extended to a Hamiltonian cycle. A positive answer is known for perfect matchings, but the general case…