TY - JOUR AU - Bohl, P. PY - 1904 DA - 1904// TI - Ueber die Bewegung eines mechanischen Systems in der Nähe einer Gleichgewichtslage JO - J. Reine Angew. Math VL - 127 ID - Bohl1904 ER - TY - BOOK AU - Zeidler, E. PY - 1986 DA - 1986// TI - Nonlinear Functional Analysis and Its Applications I PB - Springer CY - New York UR - https://doi.org/10.1007/978-1-4612-4838-5 DO - 10.1007/978-1-4612-4838-5 ID - Zeidler1986 ER - TY - JOUR AU - Brouwer, L. E. J. PY - 1911 DA - 1911// TI - Über Abbildung von Mannigfaltigkeiten JO - Math. Ann VL - 71 UR - https://doi.org/10.1007/BF01456931 DO - 10.1007/BF01456931 ID - Brouwer1911 ER - TY - BOOK AU - Hatcher, A. PY - 2002 DA - 2002// TI - Algebraic Topology PB - Cambridge University Press CY - Cambridge ID - Hatcher2002 ER - TY - BOOK AU - Milnor, J. PY - 1965 DA - 1965// TI - Topology from the Differential Viewpoint PB - University of Virginia Press CY - Charlottesville ID - Milnor1965 ER - TY - BOOK AU - Guillemin, V. AU - Pollack, A. PY - 1974 DA - 1974// TI - Differential Topology PB - Prentice Hall CY - New York ID - Guillemin1974 ER - TY - JOUR AU - Kakutani, S. PY - 1941 DA - 1941// TI - A generalization of Brouwer’s fixed point theorem JO - Duke Math. J VL - 8 UR - https://doi.org/10.1215/S0012-7094-41-00838-4 DO - 10.1215/S0012-7094-41-00838-4 ID - Kakutani1941 ER - TY - CHAP AU - Franklin, J. N. PY - 2002 DA - 2002// TI - Classics in Applied Mathematics 37 BT - Methods of Mathematical Economics: Linear and Nonlinear Programming, Fixed-Point Theorems PB - SIAM CY - Philadelphia UR - https://doi.org/10.1137/1.9780898719239 DO - 10.1137/1.9780898719239 ID - Franklin2002 ER - TY - BOOK AU - Lefschetz, S. PY - 1949 DA - 1949// TI - Introduction to Topology PB - Princeton University Press CY - Princeton ID - Lefschetz1949 ER - TY - JOUR AU - Hopf, H. PY - 1928 DA - 1928// TI - A new proof of the Lefschetz formula on invariant points JO - Proc. Natl. Acad. Sci. USA VL - 14 UR - https://doi.org/10.1073/pnas.14.2.149 DO - 10.1073/pnas.14.2.149 ID - Hopf1928 ER - TY - BOOK AU - Dieudonne, J. PY - 1989 DA - 1989// TI - A History of Algebraic and Differential Topology, 1900-1960 PB - Birkhäuser CY - Basel ID - Dieudonne1989 ER - TY - CHAP AU - Granas, A. AU - Dugundji, J. PY - 2003 DA - 2003// TI - Springer Monographs in Mathematics BT - Fixed Point Theory PB - Springer CY - New York UR - https://doi.org/10.1007/978-0-387-21593-8 DO - 10.1007/978-0-387-21593-8 ID - Granas2003 ER - TY - JOUR AU - Gale, D. PY - 1979 DA - 1979// TI - The game of Hex and the Brouwer fixed-point theorem JO - Am. Math. Mon VL - 86 UR - https://doi.org/10.2307/2320146 DO - 10.2307/2320146 ID - Gale1979 ER - TY - JOUR AU - Mazurkiewicz, S. AU - Knaster, B. AU - Kuratowski, C. PY - 1929 DA - 1929// TI - Ein Beweis des Fixpunktsatzes für n-dimensional Simplexe JO - Fundam. Math VL - 14 ID - Mazurkiewicz1929 ER - TY - BOOK AU - Jezierski, J. AU - Marzantowicz, W. PY - 2006 DA - 2006// TI - Homotopy Methods in Topological Fixed and Periodic Points Theory PB - Springer CY - Dordrecht ID - Jezierski2006 ER - TY - BOOK AU - Spanier, E. H. PY - 1966 DA - 1966// TI - Algebraic Topology PB - Springer CY - Berlin ID - Spanier1966 ER - TY - BOOK AU - Knill, O. PY - 2012 DA - 2012// TI - On index expectation and curvature for networks ID - Knill2012 ER - TY - JOUR AU - Artin, M. AU - Mazur, B. PY - 1965 DA - 1965// TI - On periodic points JO - Ann. Math VL - 81 UR - https://doi.org/10.2307/1970384 DO - 10.2307/1970384 ID - Artin1965 ER - TY - CHAP AU - Ruelle, D. PY - 1991 DA - 1991// TI - CRM Monograph Series BT - Dynamical Zeta Functions for Piecewise Monotone Maps of the Interval PB - Am. Math. Soc. CY - Providence ID - Ruelle1991 ER - TY - CHAP AU - Bowen, R. AU - Lanford, O. E. PY - 1970 DA - 1970// TI - Zeta functions of restrictions of the shift transformation BT - Global Analysis (Proc. Sympos. Pure Math., Vol. XIV, Berkeley, Calif., 1968) PB - Am. Math. Soc. CY - Providence ID - Bowen1970 ER - TY - JOUR AU - Nowakowski, R. AU - Rival, I. PY - 1979 DA - 1979// TI - Fixed-edge theorem for graphs with loops JO - J. Graph Theory VL - 3 UR - https://doi.org/10.1002/jgt.3190030404 DO - 10.1002/jgt.3190030404 ID - Nowakowski1979 ER - TY - JOUR AU - Espínolaa, R. AU - Krirkb, W. A. PY - 2006 DA - 2006// TI - Fixed point theorems in r-trees with applications to graph theory JO - Topol. Appl VL - 153 UR - https://doi.org/10.1016/j.topol.2005.03.001 DO - 10.1016/j.topol.2005.03.001 ID - Espínolaa2006 ER - TY - CHAP AU - Eckmann, B. PY - 1999 DA - 1999// TI - The Euler characteristic - a few highlights in its long history BT - Mathematical Survey Lectures: 1943-2004 ID - Eckmann1999 ER - TY - BOOK AU - Edelsbrunner, H. AU - Harer, J. PY - 2010 DA - 2010// TI - Computational Topology: An Introduction PB - Am. Math. Soc. CY - Providence ID - Edelsbrunner2010 ER - TY - BOOK AU - Knill, O. PY - 2012 DA - 2012// TI - A graph theoretical Poincaré-Hopf theorem ID - Knill2012 ER - TY - BOOK AU - Knill, O. PY - 2011 DA - 2011// TI - A graph theoretical Gauss-Bonnet-Chern theorem ID - Knill2011 ER - TY - JOUR AU - Erdös, P. AU - Rényi, A. PY - 1959 DA - 1959// TI - On random graphs. I JO - Publ. Math. (Debr.) VL - 6 ID - Erdös1959 ER - TY - BOOK AU - Gross, J. L. AU - Tucker, T. W. PY - 1987 DA - 1987// TI - Topological Graph Theory PB - Wiley CY - New York ID - Gross1987 ER - TY - CHAP AU - Hirzebruch, F. AU - Zagier, D. PY - 1974 DA - 1974// TI - Mathematics Lecture Series 3 BT - The Atiyah-Singer Theorem and Elementary Number Theory PB - Publish or Perish Inc. CY - Boston ID - Hirzebruch1974 ER - TY - BOOK AU - Ebert, J. PY - 2011 DA - 2011// TI - Euler characteristic of orbifolds ID - Ebert2011 ER - TY - CHAP AU - Terras, A. PY - 2011 DA - 2011// TI - Cambridge Studies in Advanced Mathematics 128 BT - Zeta Functions of Graphs PB - Cambridge University Press CY - Cambridge ID - Terras2011 ER -