Optimasi Sistem Pelayanan Bengkel Pemeliharaan Dan Perbaikan PT.Astra International Cabang Palembang Guna Mempercepat Waktu Pelayanan

APPEAL FROM THE JUDGMENT OF THE DISTRICT COURT OF THE THIRD JUDICIAL DISTRICT, IN AND FOR SALT LAKE COUNTY, STATE OF UTAH, THE HONORABLE PETER F. LEARY, JUDGE, PRESIDING

Sliding suffix trees simplified

Sliding suffix trees (Fiala & Greene, 1989) for an input text $T$ over an alphabet of size $\sigma$ and a sliding window $W$ of $T$ can be maintained in $O(|T| \log \sigma)$ time and $O(|W|)$ space. The two previous approaches that achieve this can be categorized into the credit-based approach of Fiala and Greene (1989) and Larsson (1996, 1999), or the batch-based approach proposed by Senft (2005). Brodnik and Jekovec (2018) showed that the sliding suffix tree can be supplemented with leaf pointers in order to find all occurrences of an online query pattern in the current window, and that leaf pointers can be maintained by credit-based arguments as well. The main difficulty in the credit-based approach is in the maintenance of index-pairs that represent each edge. In this paper, we show that valid edge index-pairs can be derived in constant time from leaf pointers, thus reducing the maintenance of edge index-pairs to the maintenance of leaf pointers. We further propose a new simple method which maintains leaf pointers without using credit-based arguments. Our algorithm and proof of correctness are much simpler compared to the credit-based approach, whose analyses were initially flawed (Senft 2005).Comment: 12 pages + 5 pages of appendix. 18 figures in tota