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Graphs, Chromatic Polynomials, and Acyclic Orientations

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Lessons in Enumerative Combinatorics

Part of the book series: Graduate Texts in Mathematics ((GTM,volume 290))

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Abstract

A graph is usually represented as a set of points of the plane or space joined in pairs by a certain collection of arcs. The points are called vertices, and the arcs (although need not be drawn straight) are usually referred to as edges.

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References

  1. Euler, L.: Elementa doctrinae solidorum. Novi Commentarii academiae scientiarum Petropolitanae 4, 109–140 (1758). Opera Omnia: Series 1 26, 71–93

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  2. Kuratowski, K.: Sur le problème des courbes gauches en topologie. Fund. Math. 15, 271–283 (1930)

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  3. Stanley, R. P.: Acyclic orientations of graphs. Discrete Math. 5, 171–178 (1973)

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Eğecioğlu, Ö., Garsia, A.M. (2021). Graphs, Chromatic Polynomials, and Acyclic Orientations. In: Lessons in Enumerative Combinatorics. Graduate Texts in Mathematics, vol 290. Springer, Cham. https://doi.org/10.1007/978-3-030-71250-1_8

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