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Graph homomorphisms and chromatic numbers are foundational concepts in modern graph theory, with widespread applications that extend from combinatorial optimisation to theoretical computer science. A ...

Geometric intersection graphs form an intriguing class of structures in which vertices represent geometric objects – such as line segments, discs, or curves – and an edge is established between two ...

Abstract: The b-chromatic number of a graph, written as φ(G), is the highest number of colors you can use to color the graph properly, with one special rule: in each color group, there must be at ...

Elon Musk shared a chart during a get-out-the-vote rally in Wisconsin over the weekend, which he claimed showed millions of noncitizens received Social Security numbers during former President Joe ...

Abstract: Coloring for random graph from G(n,1/2) is a classic example exhibiting an Information v. Computation gap: it has chromatic number of Theta(n/log n) w.p. 1-o(1) while the best efficiently ...

Abstract: Irwing and Manlove made contributions to the study of graph coloring and related topics. The idea of b-chromatic number of graphs was first introduced by them in the year 1999. In this work, ...

On March 15, intriguing seminar announcements sent rumblings through the field of combinatorics, the mathematical study of counting. Three collaborators planned to give coordinated talks the following ...

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fuzzy-graph-coloring is a Python package for calculating the fuzzy chromatic number and coloring of a graph with fuzzy edges. It will create a coloring with a minimal amount of incompatible edges ...

A new generation of graph databases has taken hold, and a generation of query languages has arrived alongside them. The assorted graph database query languages include the likes of Gremlin, Cypher, ...