This research topic explores the theoretical foundations and practical applications of graph labeling and coloring problems, both of which are central to modern combinatorics and computer science.

All quadratic functions have the same type of curved graphs with a line of symmetry. The graph of the quadratic function \(y = ax^2 + bx + c \) has a minimum turning point when \(a \textgreater 0 \) ...

In 1950 Edward Nelson, then a student at the University of Chicago, asked the kind of deceptively simple question that can give mathematicians fits for decades. Imagine, he said, a graph — a ...

Mathematics has applications throughout the sciences and social sciences. It's also a subject with intrinsic intellectual and aesthetic interest. Mathematics draws much of its following and strength ...

What if instead of defining a mesh as a series of vertices and edges in a 3D space, you could describe it as a single function? The easiest function would return the signed distance to the closest ...

The nonconvex problem of minimum curvature is considered in detail and sufficient conditions for existence of solutions as well as characterizations are presented. The L ∞ minimization problem of ...

Most engineering labs have digital oscilloscopes, but many engineers don’t fully explore their features. Among the more interesting features of a digital oscilloscope is its math channel, which can ...