No abstract

Li, Nikiforov and Schelp [13] conjectured that any 2-edge coloured graph G with order n and minimum degree δ(G) > 3n/4 contains a monochromatic cycle of length ℓ, for all ℓ ∈ [4, ⌈n/2⌉]. We prove this conjecture for sufficiently large n and also find all 2-edge coloured graphs with δ(G)=3n/4 that do not contain all such cycles. Finally, we show that, for all δ>0 and n>n0(δ), if G is a 2-edge coloured graph of order n with δ(G) ≥ 3n/4, then one colour class either contains a monochromatic cycle of length at least (2/3+δ/2)n, or contains monochromatic cycles of all lengths ℓ ∈ [3, (2/3−δ)n].

No abstract

A moving-slider microactuator for high track pitch HDDs was investigated. A new microactuator design called a bipolar microactuator that enables both high stroke and good linearity was proposed. For easier assembly, a new microactuator fabrication technique was developed that enables the bonding pads on the sidewall of the microactuator chip. The microactuator was assembled into a server-class HDD, and a servo bandwidth of 8 kHz was demonstrated with an 80-kHz sampling rate.Index Terms-Bipolar actuator, high-bandwidth tracking servo, MEMS, microactuator, sidewall bonding pad.