4 papers
Node-Kayles on Trees
Nuttanon Songsuwan
Node-Kayles is a well-known impartial combinatorial game played on graphs, where players alternately select a vertex and remove it along with its neighbors. By the Sprague-Grundy t…
Maximal Independent Sets in Polygonal Cacti
Natawat Klamsakul, Pantaree Thengarnanchai, Mattanaporn Suebtangjai +3
Counting the number of maximal independent sets of graphs was started over years ago by Erdős and Mooser. The problem has been continuously studied with a number of variations…
Drunk Angel and Hiding Devil
Nuttanon Songsuwan, Anuwat Tangthanawatsakul, Pawaton Kaemawichanurat
The angel game is played on -dimensional infinite grid by players, the angel and the devil. In each turn, the angel of power moves from her current point…
Disjoint Cross Intersecting Families
Nuttanon Songsuwan, Supida Sengsamak, Nutchapol Jeerawattana +2
For positive integers and such that , let be a set of elements and let be the family of all -subsets of . Two sub-fa…