For the unbiased Maker-Breaker game, played on the hypergraph H, let τM (H) be the smallest integer t such that Maker can win the game within t moves (if the game is a Breaker’...
Dan Hefetz, Michael Krivelevich, Milos Stojakovic,...
Kreweras’ conjecture [9] asserts that every perfect matching of the hypercube Qd can be extended to a Hamiltonian cycle of Qd. We [5] proved this conjecture but here we present ...
This paper initiates a study of the connection between graph homomorphisms and the Tutte polynomial. This connection enables us to extend the study to other important polynomial i...
Attempts to solve the famous Four Color Problem led to fruitful discoveries and rich coloring theories. In this talk, some old and some recent applications of tools from topology ...
A graph is a 1-join composition if its vertex set can be partitioned into four nonempty sets AL; AR; SL and SR such that: every vertex of AL is adjacent to every vertex of AR; no ...
Celina M. Herrera de Figueiredo, Sulamita Klein, K...