Combinatorics Topics Techniques Algorithms

Authors: Li, Xueliang, Mao, Yaping
Brings together results, conjectures, and open problems on generalized connectivity
Features theoretical and practical analysis for generalized (edge-) connectivity
Contains essential proofs

Studying the challenges of problems from international programming competitions is an effective way to improve your algorithmic and coding skills and understanding.

The Probabilistic Method has recently been developed intensively and became one of the most powerful and widely used tools applied in Combinatorics. One of
the major reasons for this rapid development is the important role of randomness in Theoretical Computer Science, a field which is recently the source of many intriguing
combinatorial problems.

Geometric algebra (GA), also known as Clifford algebra, is a powerful unifying framework for geometric computations that extends the classical techniques of linear algebra and vector calculus in a structural manner. Its benefits include cleaner computer-program solutions for known geometric computation tasks, and the ability to address increasingly more involved applications.