Showing papers by "Akira Saito published in 2000"
TL;DR: The relation between n-factor-criticality and various closure operations, which are usually considered in the theory of hamiltonian graphs, is studied.
15 citations
TL;DR: It is shown that for a graph G of order n ≥ 51 with δ(G) ≥ n−2 3 , G contains a 2-factor with exactly k cycles, for 1 ≤ k ≤ n−24 3 .
Abstract: We consider the question of the range of the number of cycles possible in a 2-factor of a 2-connected claw-free graph with sufficiently high minimum degree. (By claw-free we mean the graph has no induced K1,3.) In particular, we show that for such a graph G of order n ≥ 51 with δ(G) ≥ n−2 3 , G contains a 2-factor with exactly k cycles, for 1 ≤ k ≤ n−24 3 . We also show that this result is sharp in the sense that if we lower δ(G), we cannot obtain the full range of values for k.
5 citations
TL;DR: In this paper, the authors measured the dHvA effect and the transverse magnetoresistance in FeP which has the MnP-type structure and is antiferromagnetic below 125 K with the double helical spin structure.
Abstract: The 3d transition metal monopnictides show various interesting electric and magnetic properties. In this study, we have measured the dHvA effect and the transverse magnetoresistance in FeP which has the MnP-type structure and is antiferromagnetic below 125 K with the double helical spin structure. Ten dHvA branches were observed in the (0 0 1) and (1 0 0) planes and their cyclotron mass ratios at the [0 1 0] direction are 0.6–2.2.
1 citations