Imagine 100 dots scattered in front of you. In a haphazard variation on connect-the-dots, start drawing lines between the points. How many lines can you draw without producing a triangle? A square? An ...

Recent advances in the study of automorphism groups within graph theory have yielded significant theoretical and applied insights. At its core, the interplay between the algebraic structure of groups ...

Applicable Analysis and Discrete Mathematics, Vol. 17, No. 2 (October, 2023), pp. 321-333 (13 pages) In this paper the problem of the existence of regular nut graphs is addressed. A generalization of ...

General criteria are given to ensure that in a family of discrete random processes, given parameters exhibit convergence to the solution of a system of differential equations. As one application we ...

An old conjecture, probably going back to G. A. Dirac in the 1950's, states that regular graphs of large degree are Class 1 (with respect to edge-colorings): This conjecture has a counterpart where it ...

The first graph would have a regular dropcap, like this. The first graph would have a regular dropcap, like this. The first graph would have a regular dropcap, like ...