Chromatic symmetric function information

The chromatic symmetric function is a symmetric function invariant of graphs studied in algebraic graph theory, a branch of mathematics. It is the weight...

apart, one half step. The word chromatic comes from the Greek chroma, color; and the traditional function of the chromatic scale is to color or embellish...

this: The chromatic polynomial is a function P(G,t) that counts the number of t-colorings of G. As the name indicates, for a given G the function is indeed...

optical transfer function via the point spread function is versatile as it can fully characterize optics with spatial varying and chromatic aberrations by...

different position. Chromatic aberration occurs when different wavelengths are not focussed to the same point. Types of chromatic aberration are: Axial...

Romantic periods, augmented sixth chords had the same harmonic function: as a chromatically altered predominant chord (typically, an alteration of ii4 3...

vertex of the 3-symmetric drawing) and contracting an edge incident to each neighbor of the deleted vertex. The most common and symmetric plane drawing...

shapes in the 17th and early 18th centuries by those trying to correct chromatic errors seen in lenses. Opticians tried to construct lenses of varying...

supersink supersource symmetric relation symmetrically linked list symmetric binary B-tree symmetric set difference symmetry breaking symmetric min max heap tail...

2001). "Cubic Symmetric Graphs (The Foster Census)". Archived from the original on 2008-07-20. de Grey, Aubrey D.N.J. (2018). "The Chromatic Number of the...

symmetric scale composed of alternating whole and half steps, as shown at right. In classical theory (in contrast to jazz theory), this symmetrical scale...

alphabet, chromatic ciphers also require either a reduced letter set or additional features (e.g., octave register or duration). Most chromatic ciphers...

composed of three stacked minor thirds which evenly divide the chromatic scale, it is symmetrical and its four inversions are composed of the same pitch classes...

The list coloring conjecture: for every graph, the list chromatic index equals the chromatic index The overfull conjecture that a graph with maximum degree...

octave, which functions primarily to provide bass notes in diatonic contexts; there is also a missing G♯3 in the tenor octave. The fully chromatic part of the...

depolarization at mid-to-long wavelengths. This was termed a chromaticity cell. A third cell - also a chromaticity cell - responded with hyperpolarization at fairly...

Similarly, χ(G) is the chromatic number of a graph; χ ′(G) is the chromatic index of the graph, which equals the chromatic number of its line graph...

follows easily from the inductive construction.) is arc transitive and symmetric. The symmetries of hypercube graphs can be represented as signed permutations...

practice. Some jazz scales, such as the bebop scales, add additional chromatic passing tones to the familiar diatonic scales. One important feature of...