Discrete Morse theory on graphs |
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Authors: | R Ayala D Fernández-Ternero |
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Institution: | Dpto. de Geometría y Topología, Universidad de Sevilla, 41080, Sevilla, Spain |
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Abstract: | We characterize the topology of a graph in terms of the critical elements of a discrete Morse function defined on it. Besides, we study the structure and some properties of the gradient vector field induced by a discrete Morse function defined on a graph. Finally, we get results on the number of non-homologically equivalent excellent discrete Morse functions defined on some kind of graphs. |
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Keywords: | 57M20 57Q15 68R10 |
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