Abstract This lecture is designed for Week 9 of the MH1301 Discrete Mathematics curriculum, transitioning from graph traversals to structural properties. We will define the chromatic number and ...

The original version of this story appeared in Quanta Magazine. All of modern mathematics is built on the foundation of set theory, the study of how to organize abstract collections of objects. But in ...

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This book explores the problem of minimal valid graph coloring, first in the form of games and then of resolution algorithms. Emphasis is placed on deterministic, guaranteed and non-guaranteed methods ...

School of Engineering, Institute of Computer Science, Intelligent Information Systems Research Group, Zurich University of Applied Sciences, Winterthur, Switzerland Many different methods for ...

#define _(blk) std::cerr << #blk << " "; start_ = clock(); blk \ std::cerr << (clock()-start_)*1.0/CLOCKS_PER_SEC << "s" << std::endl; "simple_maximal_planar_random ...

Have you ever done a Google search to find a restaurant or look up what your favorite actor is up to? Most of us have, and therefore understand the benefit of knowledge graphs, possibly without even ...

Abstract: In this paper, we investigate the algorithmic complexity of deciding colorability, as a function of the number of available colors. Intuitively, one may assume that the problem's complexity ...

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