Vizings

Vizings is the plural form of the surname Vizing and is used to refer to people who bear that name. In academic references, the term is most closely associated with a Soviet mathematician whose work gave rise to Vizing's theorem in graph theory.

Vizing's theorem, proved in 1964, states that the edge chromatic number χ′(G) of any simple graph G is at most Δ(G) + 1, where Δ(G) is the maximum degree of G. Consequently, χ′(G) is either Δ(G) or Δ(G) + 1 for every simple graph. The theorem provides a tight bound, with many graphs classified as either class 1 (χ′ = Δ) or class 2 (χ′ = Δ + 1). The result has driven further study in edge coloring and related combinatorial methods, and it has inspired algorithmic approaches for coloring edges in networks.

Beyond the mathematical association, Vizings as a surname occurs rarely in public records, and most references to the name point to individuals in scholarly contexts. The name's prominence in mathematics rests primarily on the theorem named after the mathematician rather than on a distinct, widely recognized group or organization.