TY - JOUR
AU - Nikoghosyan, Zhora G.
PY - 2023/05/31
Y2 - 2024/05/23
TI - A Note on Large Cycles in Graphs Around Conjectures of Bondy and Jung
JF - Mathematical Problems of Computer Science
JA - MPCS
VL - 59
IS -
SE - Articles
DO - 10.51408/1963-0097
UR - http://mpcs.sci.am/index.php/mpcs/article/view/784
SP - 7-15
AB - <p>New sufficient conditions are derived for generalized cycles (including Hamilton and dominating cycles as special cases) in an arbitrary k-connected (k = 1, 2, ...) graph, which prove the truth of Bondy’s (1980) famous conjecture for some variants significantly improving the result expected by the given hypothesis. Similarly, new lower bounds for the circumference (the length of a longest cycle) are established for the reverse hypothesis proposed by Jung (2001) combined inspiring new improved versions of the original conjectures of Bondy and Jung.</p>
ER -