TY - JOUR TI - CYCLES CONTAINING SPECIFIED EDGES IN A GRAPH AU - Gancarzewicz, Grzegorz TI - CYCLES CONTAINING SPECIFIED EDGES IN A GRAPH AB - The aim of this paper is to prove that if s > 1 and G is a graph of order n > 4s + 6 satisfying 2 > (4n - 4s - 3) / 3 ; then every matching of G lies on a cycle of length at least n-s and hence, in a path of length at least n - s + 1: VL - 2014 IS - Nauki Podstawowe Zeszyt 2 NP (16) 2014 PY - 2015 SN - 0011-4561 C1 - 2353-737X SP - 37 EP - 43 DO - 10.4467/2353737XCT.14.298.3386 UR - https://ejournals.eu/czasopismo/czasopismo-techniczne/artykul/cycles-containing-specified-edges-in-a-graph KW - cycle KW - graph KW - hamiltonian cycle KW - hamiltonian path KW - matching KW - path