- 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...
-
graph without a triangle, and the
example can be
generalized to the
Mycielskians.
Theorem (William T. Tutte 1947,
Alexander Zykov 1949, Jan Mycielski 1955):...
-
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...
-
graph is triangle-free and has
chromatic number 4, and
repeating the
Mycielskian construction used to form the Grötzsch
graph produces triangle-free graphs...
-
mathematician whose work
includes the Ehrenfeucht–Mycielski sequence, The
Mycielskian, The Mycielski–Grötzsch
graph and Mycielski's
theorem Bohdan Paczyński...
- 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;...
-
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...
-
graph G is factor-critical, then so is the
Mycielskian of G. For instance, the Grötzsch graph, the
Mycielskian of a five-vertex cycle-graph, is factor-critical...
- of it. Jan
Mycielski (born 1932), Polish-American
mathematician The
Mycielskian, a
construction in
graph theory The Grötzsch graph,
sometimes called...
