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Invariants

In: Problem-Solving Methods in Combinatorics

Author

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  • Pablo Soberón

    (University College London, Department of Mathematics)

Abstract

This chapter shows how invariants can be used in combinatorial problems. First, we show some examples that go from purely combinatorial problems to geometric ones, and how invariants are used to solve each of them. Then, we present in depth how coloring techniques are used in problems related to boards, especially those concerning some type of tiling. Then, we introduce some concepts related to game theory, and show how some problems of this kind can be solved using invariants. At the end of the chapter, 23 problems are given for the reader to practice.

Suggested Citation

  • Pablo Soberón, 2013. "Invariants," Springer Books, in: Problem-Solving Methods in Combinatorics, edition 127, chapter 3, pages 27-41, Springer.
    • Handle: RePEc:spr:sprchp:978-3-0348-0597-1_3
    DOI: 10.1007/978-3-0348-0597-1_3
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