It is proved that seven different approaches to the multi-peg Tower of Hanoi problem are all equivalent. Among them the classical approaches of Stewart and Frame from 1941 can be ...
In anonymous secret sharing schemes, the secret can be reconstructed without knowledge of which participants hold which shares. In this paper, we derive a tighter lower bound on t...
Wataru Kishimoto, Koji Okada, Kaoru Kurosawa, Waka...
We establish results on NeST graphs (intersection tolerance graphs of neighborhood subtrees of a tree) and several subclasses. In particular, we show the equivalence of proper NeS...
Ryan B. Hayward, Paul E. Kearney, Andrew J. Malton
A block graph is a graph whose blocks are cliques. A block duplicate (BD) graph is a graph obtained by adding true twins (i.e., adjacent vertices with the same closed neighborhood...
A graph is said to be uniquely list colorable, if it admits a list assignment which induces a unique list coloring. We study uniquely list colorable graphs with a restriction on t...
Yashar Ganjali, Mohammad Ghebleh, Hossein Hajiabol...
The virtual ant introduced by Langton [Physica D 22 (1986) 120] has an interesting behavior, which has been studied in several contexts. Here we give a construction to calculate a...
Directed hypergraphs are used to model networks whose nodes are connected by directed buses. We study in this paper two parameters related to the fault-tolerance of directed bus n...