On the Depth of a Random Graph
On the Depth of a Random Graph
The book On the Depth of a Random Graph was written by author Here you can read free online of On the Depth of a Random Graph book, rate and share your impressions in comments. If you don't know what to write, just answer the question: Why is On the Depth of a Random Graph a good or bad book?
Where can I read On the Depth of a Random Graph for free?
In our eReader you can find the full English version of the book. Read On the Depth of a Random Graph Online - link to read the book on full screen. Our eReader also allows you to upload and read Pdf, Txt, ePub and fb2 books. In the Mini eReder on the page below you can quickly view all pages of the book - Read Book On the Depth of a Random Graph
In our eReader you can find the full English version of the book. Read On the Depth of a Random Graph Online - link to read the book on full screen. Our eReader also allows you to upload and read Pdf, Txt, ePub and fb2 books. In the Mini eReder on the page below you can quickly view all pages of the book - Read Book On the Depth of a Random Graph
What reading level is On the Depth of a Random Graph book?
To quickly assess the difficulty of the text, read a short excerpt:
+ 2 k |B | we get |S k | > (2 k+1 - 1)|B |, implying • 10- k = log (Ji + 1) - 1 B o log {» "JILL + i) - i 2 6 log n ig ___ — - log Log n - 1 2 S k + 2B k > J (1 -c) + y (1 - c) So, we proved that: LEMMA 2. 2 : Conditioned on the event E, the BFS process will visit at least n(l - e) nodes of G f in_ T stages where x 1 - n~^ +1 .
Let us allow the BFS to continue until it can visit no more vertices, and let f be the final stage (such that |Bf + j| = 0). Consider the stage f n - log n or |B f / +...1 | = 0. After f" either the process stops or there are at most 6* log n nodes more to visit and this cannot take more than 6* log n stages in either case. At f, the set B^, , of "unvisited" nodes is at least of size 5* log n. Consider the backward process in which the set of unvisited nodes increases as stages are -1 1- \, cuted n revi se. Che nev iroces; Is syi imetrii to th BFS and because of the symmetry we can argue that: LEMMA 2.
What to read after On the Depth of a Random Graph?
You can find similar books in the "Read Also" column, or choose other free books by J H John H Reif to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
+ 2 k |B | we get |S k | > (2 k+1 - 1)|B |, implying • 10- k = log (Ji + 1) - 1 B o log {» "JILL + i) - i 2 6 log n ig ___ — - log Log n - 1 2 S k + 2B k > J (1 -c) + y (1 - c) So, we proved that: LEMMA 2. 2 : Conditioned on the event E, the BFS process will visit at least n(l - e) nodes of G f in_ T stages where x 1 - n~^ +1 .
Let us allow the BFS to continue until it can visit no more vertices, and let f be the final stage (such that |Bf + j| = 0). Consider the stage f n - log n or |B f / +...1 | = 0. After f" either the process stops or there are at most 6* log n nodes more to visit and this cannot take more than 6* log n stages in either case. At f, the set B^, , of "unvisited" nodes is at least of size 5* log n. Consider the backward process in which the set of unvisited nodes increases as stages are -1 1- \, cuted n revi se. Che nev iroces; Is syi imetrii to th BFS and because of the symmetry we can argue that: LEMMA 2.
What to read after On the Depth of a Random Graph?
You can find similar books in the "Read Also" column, or choose other free books by J H John H Reif to read onlineMoreLess
Read book On the Depth of a Random Graph for free
You can download books for free in various formats, such as epub, pdf, azw, mobi, txt and others on book networks site. Additionally, the entire text is available for online reading through our e-reader. Our site is not responsible for the performance of third-party products (sites).
Write Review:
Guest
Read Also
9 / 10
10 / 10
7 / 10
User Reviews: