In the mathematical field of graph theory, a quartic graph is a graph where all vertices have degree 4. In other words, a quartic graph is a 4-regular graph.
A biquartic graph is a quartic bipartite graph.
It is an open conjecture that all quartic graphs have an even number of Hamiltonian circuits.
It is known that quartic graphs have an even number of Hamiltonian decompositions.
Famous quotes containing the word graph:
“In this Journal, my pen is a delicate needle point, tracing out a graph of temperament so as to show its daily fluctuations: grave and gay, up and down, lamentation and revelry, self-love and self-disgust. You get here all my thoughts and opinions, always irresponsible and often contradictory or mutually exclusive, all my moods and vapours, all the varying reactions to environment of this jelly which is I.”
—W.N.P. Barbellion (1889–1919)