TY - GEN

T1 - Cluttered orderings for the complete graph

AU - Cohen, Myra B.

AU - Colbourn, Charles J.

AU - Froncek, Dalibor

PY - 2001

Y1 - 2001

N2 - In a systematic erasure code for the correction of two simultaneous erasures, each information symbol must have two associated parity symbols. When implemented in a redundant array of independent disks (RAID), performance requirements on the update penalty necessitate that each information symbol be associated with no more parity symbols than the two required. This leads to a simple graph model of the erasure codes, with parity symbols as vertices and information symbols as edges. Ordering the edges so that no more than f check disks (vertices) appear amongan y set of d consecutive edges is found to optimize access performance of the disk array when d is maximized. These cluttered orderings are examined for the complete graph Kn. The maximum number d of edges is determined precisely when f ≤ 5 and when f = n - 1, and bounds are derived in the remaining cases.

AB - In a systematic erasure code for the correction of two simultaneous erasures, each information symbol must have two associated parity symbols. When implemented in a redundant array of independent disks (RAID), performance requirements on the update penalty necessitate that each information symbol be associated with no more parity symbols than the two required. This leads to a simple graph model of the erasure codes, with parity symbols as vertices and information symbols as edges. Ordering the edges so that no more than f check disks (vertices) appear amongan y set of d consecutive edges is found to optimize access performance of the disk array when d is maximized. These cluttered orderings are examined for the complete graph Kn. The maximum number d of edges is determined precisely when f ≤ 5 and when f = n - 1, and bounds are derived in the remaining cases.

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U2 - 10.1007/3-540-44679-6_48

DO - 10.1007/3-540-44679-6_48

M3 - Conference contribution

AN - SCOPUS:23044530394

SN - 9783540424949

T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

SP - 420

EP - 431

BT - Computing and Combinatorics - 7th Annual International Conference, COCOON 2001, Proceedings

A2 - Wang, Jie

PB - Springer Verlag

T2 - 7th Annual International Conference on Computing and Combinatorics, COCOON 2001

Y2 - 20 August 2001 through 23 August 2001

ER -