Mathematical Induction and Graph Coloring

A.A.I Perera; D.G.T.K. Samarasiri

doi:https://doi.org/10.14445/22315373/IJMTT-V2I2P505

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 2 | Issue 2 | Year 2011 | Article Id. IJMTT-V2I2P505 | DOI : https://doi.org/10.14445/22315373/IJMTT-V2I2P505

Mathematical Induction and Graph Coloring

A.A.I Perera, D.G.T.K. Samarasiri

Citation :

A.A.I Perera, D.G.T.K. Samarasiri, "Mathematical Induction and Graph Coloring," International Journal of Mathematics Trends and Technology (IJMTT), vol. 2, no. 2, pp. 18-25, 2011. Crossref, https://doi.org/10.14445/22315373/IJMTT-V2I2P505

Abstract

Graph coloring can be used to solve problems in all disciplines. In our work, we have used Mathematical Induction to solve graph coloring problems. In this work, we proved that, a map which is formed by some finite number of line segments joining pairs of points on different sides of a given rectangle is 2-colorable.

Keywords

Cocycle matrix, bilinear forms.

References

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