In the mathematical area of graph theory, the Mycielskian or Mycielski graph of an undirected graph is a larger graph formed from it by a construction...

sequence, a sequence of binary digits with pseudorandom properties The Mycielskian, a construction for embedding any undirected graph into a larger graph...

power of graph; dual graph; medial graph; quotient graph; Y-Δ transform; Mycielskian. Binary operations create a new graph from two initial graphs G1 = (V1...

mathematician whose work includes the Ehrenfeucht–Mycielski sequence, The Mycielskian, The Mycielski–Grötzsch graph and Mycielski's theorem Bohdan Paczyński...

graph is triangle-free and has chromatic number 4, and repeating the Mycielskian construction used to form the Grötzsch graph produces triangle-free graphs...

graph without a triangle, and the example can be generalized to the Mycielskians. Theorem (William T. Tutte 1947, Alexander Zykov 1949, Jan Mycielski 1955):...

is a member of an infinite sequence of triangle-free graphs, each the Mycielskian of the previous graph in the sequence, starting from the one-edge graph;...

was 46. Jan Mycielski (born 1932), Polish-American mathematician The Mycielskian, a construction in graph theory The Grötzsch graph, sometimes called...

called the Mycielskian, for forming a new triangle-free graph from another triangle-free graph. If a graph has chromatic number k, its Mycielskian has chromatic...

of odd girth and chromatic number are Kneser graphs and generalized Mycielskians. A sequence of such graphs, with simultaneously increasing values of...