算法ebook(10部算法經(jīng)典著作的合集) 算法ebook> 10部算法經(jīng)典著作的合集 chm格式 (1)Fundamentals of Data Structures by Ellis Horowitz and Sartaj Sahni (2)Data Structures, Algorithms and Program Style Using C by James F. Korsh and Leonard J. Garrett (3)Data Structures and Algorithm Analysis in C by Mark Allen Weiss (4)Data Structures: From Arrays to Priority Queues by Wayne Amsbury (5)Information Retrieval: Data Structures & Algorithms edited by William B. Frakes and Ricardo Baeza-Yates (6)Introduction to Algorithms by Thomas H. Cormen, Charles E. Leiserson, and Ronald L. Rivest (7)Practical Data Structures in C++ by Bryan Flamig (8)Reliable Data Structures in C by Thomas Plum (9)Data Structures and Algorithms Alfred V. Aho, Bell Laboratories, Murray Hill, New Jersey John E. Hopcroft, Cornell University, Ithaca, New York Jeffrey D. Ullman, Stanford University, Stanford, California (10)DDJ Algorithms and Data Structures Articles
Floyd-Warshall算法描述
1)適用范圍：
a)APSP(All Pairs Shortest Paths)
b)稠密圖效果最佳
c)邊權(quán)可正可負(fù)
2)算法描述：
a)初始化：dis[u,v]=w[u,v]
b)For k:=1 to n
For i:=1 to n
For j:=1 to n
If dis[i,j]>dis[i,k]+dis[k,j] Then
Dis[I,j]:=dis[I,k]+dis[k,j]
c)算法結(jié)束：dis即為所有點(diǎn)對(duì)的最短路徑矩陣
3)算法小結(jié)：此算法簡(jiǎn)單有效，由于三重循環(huán)結(jié)構(gòu)緊湊，對(duì)于稠密圖，效率要高于執(zhí)行|V|次Dijkstra算法。時(shí)間復(fù)雜度O(n^3)。
考慮下列變形：如(I,j)∈E則dis[I,j]初始為1,else初始為0，這樣的Floyd算法最后的最短路徑矩陣即成為一個(gè)判斷I,j是否有通路的矩陣。更簡(jiǎn)單的，我們可以把dis設(shè)成boolean類型，則每次可以用“dis[I,j]:=dis[I,j]or(dis[I,k]and dis[k,j])”來(lái)代替算法描述中的藍(lán)色部分，可以更直觀地得到I,j的連通情況。
DESCRIPTION : BIN to seven segments converter
-- segment encoding
-- a
-- +---+
-- f | | b
-- +---+ <- g
-- e | | c
-- +---+
-- d
-- Enable (EN) active : high
-- Outputs (data_out) active : low
