000147366 001__ 147366
000147366 005__ 20181203021835.0
000147366 0247_ $$2doi$$a10.1103/PhysRevE.73.026114
000147366 022__ $$a1095-3787
000147366 02470 $$2ISI$$a000235667700028
000147366 037__ $$aARTICLE
000147366 245__ $$aPhysical realizability of small-world networks
000147366 260__ $$c2006
000147366 269__ $$a2006
000147366 336__ $$aJournal Articles
000147366 520__ $$aSupplementing a lattice with long-range connections effectively models small-world networks characterized by a high local and global interconnectedness observed in systems ranging from society to the brain. If the links have a wiring cost associated with their length l, the corresponding distribution q(l) plays a crucial role. Uniform length distributions have received the most attention despite indications that q(l)similar to l(-alpha) exists-e.g., for integrated circuits, the Internet, and cortical networks. While length distributions of this type were previously examined in the context of navigability, we here discuss for such systems the emergence and physical realizability of small-world topology. Our simple argument allows us to understand under which condition and at what expense a small world results.
000147366 6531_ $$aOptimization
000147366 6531_ $$aPercolation
000147366 6531_ $$aCrossover
000147366 6531_ $$aSystems
000147366 6531_ $$aModels
000147366 700__ $$0240090$$aDe Los Rios, P.$$g144344
000147366 700__ $$aPetermann, T.
000147366 773__ $$j73$$q026114$$tPhysical Review E
000147366 909C0 $$0252262$$pLBS$$xU10871
000147366 909CO $$ooai:infoscience.tind.io:147366$$pSB$$particle
000147366 937__ $$aEPFL-ARTICLE-147366
000147366 973__ $$aEPFL$$rREVIEWED$$sPUBLISHED
000147366 980__ $$aARTICLE