Bipartite Density Of Four Regular Graphs

Bipartite Density of Four-regular Graphs

Computing and Combinatorics

The Annual International Computing and Combinatorics Conference is an annual forum for exploring research, development, and novel applications of computing and combinatorics. It brings together researchers, professionals and industrial practitioners to interact and exchange knowledge, ideas and progress. Thetopics covermost aspects oftheoreticalcomputer scienceand combinatorics related to computing. The 13th Annual International Computing and Com- natorics Conference (COCOON 2007) was held in Ban?, Alberta during July 16–19, 2007. This was the ?rst time that COCOON was held in Canada. We received 165 submissions, among which 11 were withdrawn for various reasons. The remaining 154 submissions under full consideration came from 33 countries and regions: Australia, Brazil, Canada, China, the Czech Republic, Denmark, Finland, France, Germany, Greece, Hong Kong, India, Iran, Ireland, Israel, Italy, Japan, the Netherlands, Norway, Pakistan, Poland, Romania, R- sia, Slovakia, South Korea, Spain, Sweden, Switzerland, Taiwan, Turkey, the UK, the USA, and the US minor outlying islands. Afterasixweekperiodofcarefulreviewinganddiscussions,theprogramc- mittee accepted 51 submissions for oral presentation at the conference. Based on the a?liations, 1. 08 of the accepted papers were from Australia, 7. 67 from Canada, 3. 08 from China, 1 from the Czech Republic, 2 from Denmark, 1 from France, 5. 42 from Germany, 0. 08 from Greece, 2. 18 from Hong Kong, 0. 33 from India, 0. 17 from Ireland, 1. 83 from Israel, 1. 5fromItaly,2. 9 from Japan, 0. 17 from the Netherlands, 2. 67 from Norway, 0.

Fundamentals of Codes, Graphs, and Iterative Decoding

Fundamentals of Codes, Graphs, and Iterative Decoding is an explanation of how to introduce local connectivity, and how to exploit simple structural descriptions. Chapter 1 provides an overview of Shannon theory and the basic tools of complexity theory, communication theory, and bounds on code construction. Chapters 2 - 4 provide an overview of "classical" error control coding, with an introduction to abstract algebra, and block and convolutional codes. Chapters 5 - 9 then proceed to systematically develop the key research results of the 1990s and early 2000s with an introduction to graph theory, followed by chapters on algorithms on graphs, turbo error control, low density parity check codes, and low density generator codes.