Gauss-Bonnet Formula, Finiteness Condition, and Characterizations of Graphs Embedded in Surfaces

Author:

Chen Beifang,Chen Guantao

Publisher

Springer Science and Business Media LLC

Subject

Discrete Mathematics and Combinatorics,Theoretical Computer Science

Reference14 articles.

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2. Cheeger, J.: A lower bound for the lowest eigenvalue of the Laplacian. In: Problems in Analysis, A Symposium in honor of S. Bochner, 195–199, Princeton Univ. Press (1970)

3. Cheeger, J., Mller, W., Schrader, R.: On the curvature of piecewise flat spaces. Comm. Math. Phys. 92, 405–454 (1984)

4. Chen, B.: The Gram-Sommerville and Gauss-Bonnet theorems and the combinatorial geometric measures for noncompact polyhedra. Advances in Math. 91, 269–291 (1992)

5. Devos, M., Mohar, B.: An analogue of the Descartes-Euler formula for infinite graphs and Higuch’s conjecture. Trans. Amer. Math. Soc. 359, 3287–3300 (2007)

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