Topological entropy of continuous self-maps on a graph

Adler RL, Konheim AG, McAndrew MH (1965) Topological entropy. Trans Am Math Soc 114:309–319 Alseda L, Llibre J, Misiurewicz M (2000) Combinatorial dynamics and entropy in dimension one, Second edition, Advanced Series in Nonlinear Dynamics, vol 5. World Scientific Publishing Co., Inc, River Edge, NJ Balibrea F (2016) On problems of Topological Dynamics in non-autonomous discrete systems. Appl Math Nonlinear Sci 1(2):391–404 Bowen R (1971) Entropy for group endomorphisms and homogeneous spaces. Trans Am Math Soc 153:401–414 (erratum: Trans. Amer. Math. Soc. 181(1973):509–510) Brown RF (1971) The Lefschetz fixed point theorem. Scott, Foresman and Company, Glenview Casasayas J, Llibre J, Nunes A (1992) Algebraic properties of the Lefschetz zeta function, periodic points and topological entropy. Publ Math 36:467–472 Franks J (1982) Homology and dynamical systems. CBSM Regional Conf. Ser. in Math. 49, Amer. Math. Soc., Providence, R.I Fried D (1983) Periodic points and twisted coefficients, Lecture Notes in Maths., no 1007. Springer, Berlin, pp 175–179 Guaschi J, Llibre J (1995) Periodic points of \({\cal{C}}^1\) maps and the asymptotic Lefschetz number. Int J Bifurcation Chaos 5:1369–1373 Guirao JLG, Llibre J (2019) On the periods of a continuous self-map on a graph. Comput Appl Math 38:78(2):1–8 Guirao JLG, Llibre J (2017) Topological entropy and peridods of self-maps on compact manifolds. Houston J Math 43:1337–1347 Handel M, Thurston WP (1985) New proofs of some results of Nielsen. Adv Math 56:173–191 Hasselblatt B, Katok A (2002) Handbook of dynamical systems, vol 1A. North-Holland, Amsterdam Jiang B (1993) Nilsen theory for periodic orbits and applications to dynamical systems. Comtemp Math 152:183–202 Jiang B (1996) Estimation of the number of periodic orbits. Pac J Math 172:151–185 Lang S (1971) Algebra. Addison-Wesley, Boston Liao G, Fan Q (1998) Minimal subshifts which display Schweizer–Smítal chaos and have zero topological entropy. Sci China Ser A Math 41(1):33–38 Llibre J, Misiurewicz M (1993) Horseshoes, entropy and periods for graph maps. Topology 32:649–664 Mendes de Jesus C (2017) Graphs of stable maps between closed orientable surfaces. Comput Appl Math 36:1185–1194 Misiurewicz M, Przytycki F (1977) Topological entropy and degree of smooth mappings, Bulletin de l’Académie Polonaise des Sciences, Série des Sciences Math. Astr Phys XXV:573–574 Spanier EH (1981) Algebraic topology. Springer, New York Walters P (1992) An introduction to Ergodic theory. Springer, Berlin Washington LC (1982) Introduction to cyclotomic fields. Springer, Berlin