caa a22 4500 475777972 CHVBK 20180406123636.0 cr unu---uuuuu 170329e20000301xx s 000 0 eng 10.1007/s003730050004 doi (NATIONALLICENCE)springer-10.1007/s003730050004 Cycles in 2-Factors of Balanced Bipartite Graphs [Elektronische Daten] [Guantao Chen, Ralph J. Faudree, Ronald J. Gould, Michael S. Jacobson, Linda Lesniak] Abstract.: In the study of hamiltonian graphs, many well known results use degree conditions to ensure sufficient edge density for the existence of a hamiltonian cycle. Recently it was shown that the classic degree conditions of Dirac and Ore actually imply far more than the existence of a hamiltonian cycle in a graph G, but also the existence of a 2-factor with exactly k cycles, where . In this paper we continue to study the number of cycles in 2-factors. Here we consider the well-known result of Moon and Moser which implies the existence of a hamiltonian cycle in a balanced bipartite graph of order 2n. We show that a related degree condition also implies the existence of a 2-factor with exactly k cycles in a balanced bipartite graph of order 2n with . Springer-Verlag Tokyo, 2000 Chen Guantao Georgia State University, Atlanta, GA 30303, USA, GE aut Faudree Ralph J. University of Memphis, Memphis, TN 38152, USA, US aut Gould Ronald J. Emory University, Atlanta GA 30322, USA, US aut Jacobson Michael S. University of Louisville, Louisville, KY 40292, USA, US aut Lesniak Linda Drew University, Madison NJ 07940, USA, US aut https://doi.org/10.1007/s003730050004 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s003730050004 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Chen Guantao Georgia State University, Atlanta, GA 30303, USA, GE aut NATIONALLICENCE 700 1- Faudree Ralph J. University of Memphis, Memphis, TN 38152, USA, US aut NATIONALLICENCE 700 1- Gould Ronald J. Emory University, Atlanta GA 30322, USA, US aut NATIONALLICENCE 700 1- Jacobson Michael S. University of Louisville, Louisville, KY 40292, USA, US aut NATIONALLICENCE 700 1- Lesniak Linda Drew University, Madison NJ 07940, USA, US aut Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer