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	Paul Erdos, a Math Wayfarer at Field's Pinnacle, Dies at 83
		Born in Hungary in 1913, Erdos was a cosseted mathematical prodigy.
		Erdos had two older sisters who died of scarlet fever a few days before he was born, so his mother became very protective of him.
		Erdos, who was a member of Britain's Royal Society and the national academies on three continents, was known for his work in numbers theory, the theory of sets and probability theory.
	www.fmf.uni-lj.si /~mohar/Erdos.html (4488 words)

	Erdos number (Site not responding. Last check: 2007-10-22)
		The Erdős number of mathematician M is defined to be the minimum of the Erdős numbers of all themathematicians that M coauthored a mathematical paper with, plus one.
		The Erdős number honours the late Hungarian mathematician Paul Erdős whowas one of the most prolific publishers of papers in mathematical history.
		The Bacon number is an application of the same idea to the movieindustry, connecting actors that appeared in a film together.
	www.therfcc.org /erdos-number-4046.html (357 words)

	Paul Erdos was a brilliant (Site not responding. Last check: 2007-10-22)
		“Erdos was a solver of problems, not a builder of theories” (JJ O'Connor and E F Robertson 3).
		Friendly numbers have a special property: each is equal to the sum of the other’s divisors.
		The divisors of 220 are 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, and 110, which all sum to 284; the divisors of 284 are 1, 2, 4, 71, and 142, which all sum to 220.
	www.sienahts.edu /~kg103298/Contributions.htm (833 words)

	Erdos-Bacon Numbers (Site not responding. Last check: 2007-10-22)
		Paul Erdos was a prolific mathematician who wrote academic papers with a total of 502 co-authors, more than twice as many co-authors as any other mathematician.
		In theory, she could achieve an Erdos number of 2 - it is too late to get an Erdos number of 1 because Erdos died some years ago.
		Already she has a Bacon number of 2, having appeared in "The Pallbearer" with Greg Grunberg, who was in "Hollow Man" with the omnipresent Mr Bacon.
	www.simonsingh.net /Erdos-Bacon_Numbers.html (838 words)

	Paul Erdos
		Erdos had given away most of the money he earned from lecturing at mathematics conferences, donating it to students or as prizes for solving problems he had posed.
		Erdos was born into a Hungarian-Jewish family in Budapest, the only surviving child of two mathematics teachers (his two sisters, who died of scarlet fever, were considered even brighter than he was).
		Erdos had made his first significant contribution to number theory when he was 20, and discovered an elegant proof for the theorem which states that for each number greater than 1, there is always at least one prime number between it and its double.
	www.cise.ufl.edu /~ddd/erdos.html (2237 words)

	Erdos number -- Facts, Info, and Encyclopedia article (Site not responding. Last check: 2007-10-22)
		The Erdős number honours the late (A native or inhabitant of Hungary) Hungarian mathematician Paul Erdős who was one of the most prolific publishers of papers in mathematical history.
		The people who have collaborated with them (but not with Erdős himself) have Erdős number 2 (~6127 people) those who have collaborated with "number 2" people have Erdős number 3, and so forth.
		The (Click link for more info and facts about Bacon number) Bacon number is an application of the same idea to the movie industry, connecting actors that appeared in a film together.
	www.absoluteastronomy.com /encyclopedia/e/er/erdos_number.htm (548 words)

	M. Bohner's Erdos number (Site not responding. Last check: 2007-10-22)
		The Erdös number of X is less than or equal to n+1 if there is Y whose Erdös number is less than or equal to n and X and Y have published a common paper.
		The Erdös number of the second kind of Paul Erdös is 0.
		The Erdös number of the second kind of X is less then or equal to n+1 if there is Y whose Erdös number of the second kind is less then or equal to n and X and Y have published a common paper as the only two authors.
	web.umr.edu /~bohner/erdos.html (248 words)

	Erdos Number
		At this time the number of people with Erdos number 2 or less is estimated to be over 4750, according to Professor Jerrold W. Grossman archives.
		For supporting evidence, we verified that all the Fields and Nevanlinna prize winners during the past three cycles (1986-1994) are indeed in the Erdos component, with Erdos number at most 9.
		The large number of applications of graph theory to the social sciences might also lead one to suspect that many researchers in other academic areas are included as well.
	db.uwaterloo.ca /~alopez-o/math-faq/node49.html (589 words)

	sci.math FAQ: Erdos Number (Site not responding. Last check: 2007-10-22)
		The Erdos number of X is the length of the shortest path in this graph connecting X with Erdos.
		Einstein has Erdos number 2, since he wrote a paper with Ernst Straus, and Straus wrote many papers with Erdos.
		For People who have authored more than one paper with Erdos, their Erdos number is defined to be 1/# papers-co-authored.
	www.faqs.org /faqs/sci-math-faq/erdos (138 words)

	Wolfgang Bein: Erdos Number (Site not responding. Last check: 2007-10-22)
		People other than Erdos who have written a joint paper with someone with Erdos number 1 but not with Erdos have Erdos number 2, and so on.
		If there is no chain of co-authorships connecting someone with Erdos, then that person's Erdos number is said to be infinite." This is quoted from the The Erdos Number Project, which is currently the official keeper of all Erdos Numbers.
		(Erdos Number 2 List.) Since Erdos passed away in 1996, Erdos number 2 is the optimal number one can obtain from here on.
	www.egr.unlv.edu /%7Ebein/erdos (169 words)

	ERDOS NUMBERS (Site not responding. Last check: 2007-10-22)
		Most of his work was in number theory, set theory, various kinds of combinatorics (including graph theory), analysis, and probablility theory.
		All those mathematicians who co-authored a paper or book with Erdös are said to have Erdös number 1; those who have co-authored with someone of Erdös number 1 (but not with Erdös himself) have Erdös number 2; and so on.
		The Erdös Number Project has various data on the subject; in particular, there are known to be 7494 people with Erdös number at most 2.
	www.usna.edu /Users/math/meh/erdos.html (258 words)

	[No title] (Site not responding. Last check: 2007-10-22)
		Other approaches would include using hypergraphs or multigraphs or multihypergraphs.) The Erdos number of v, then, is the distance (of the shortest path) in C from v to p.
		The set of all mathematicians with a finite Erdos number is called the Erdos component of C. It has been conjectured that the Erdos component contains almost all present-day publishing mathematicians (and has a not very large diameter), but perhaps not some famous names from the past, such as Gauss.
		Clearly, any two people with a finite Erdos number can be connected by a string of co-authorships, of length at most the sum of their Erdos numbers.
	www.runet.edu /~jhelm/erdo.html (272 words)

	Read about Erdos number at WorldVillage Encyclopedia. Research Erdos number and learn about Erdos number here! (Site not responding. Last check: 2007-10-22)
		The Erdős number of a mathematician is defined
		Nevanlinna prize winners during the three cycles in 1986 to 1994 have Erdős number at most 9.
		Michael Barr suggests "rational Erdős numbers", generalizing the idea that a person who has written p joint papers with Erdős should be assigned Erdős number 1/p.
	encyclopedia.worldvillage.com /s/b/Erdos_number (449 words)

	OR/MS Today - December 1999 - Quantified Contributions
		As most readers probably know, one's Erdos number is the length of the chain of co-authorships connecting one with Erdos.
		People other than Erdos who have written a joint paper with someone with Erdos number 1, but not with Erdos, have an Erdos number 2, and so on.
		I do not think publication decisions should be based on authors' Erdos numbers, but we might consider the "audience-number" of the paper, where the "audience-number" is the length of the chain of papers connecting the paper in question to what members of the target audience can be assumed to know and understand.
	www.lionhrtpub.com /orms/orms-12-99/forum.html (1403 words)

	sci.math FAQ: Erdos Number (Site not responding. Last check: 2007-10-22)
		Three quarters of the people with Erdos number 2 have only one co-author with Erdos number 1 (i.e., each such person has a unique path of length 2 to p).
		However, their mean number of Erdos number 1 co-authors is 1.5, with a standard deviation of 1.1, and the count ranges as high as 13.
		For supporting evidence, we verified that all the Fields and Nevanlinna prize winners during the past three cycles (1986--1994) are indeed in the Erdos component, with Erdos number at most 9.
	faqs.jmas.co.jp /FAQs/sci-math-faq/erdosnumber (614 words)

	Erdos Numbers update
		Erdos Numbers Archive ========================================================================= We are pleased to announce a source of information for research mathematicians and others interested in the issue of collaboration in mathematical research -- a fairly comprehensive list of certain co-authorships.
		It is an alphabetical list of the (currently 5016) people with Erdos number 2, left-justified, each followed by a sublist of his or her co-authors with Erdos number 1 (each line indented by a tab).
		Paul Erdos has made contributions in many different areas of mathematics; and by the time you go one or two more levels down the tree, essentially all areas of mathematics are represented (as well as computer science, physics, and other natural and social sciences).
	www.mat.uc.pt /~jaimecs/ult/erdosn.html (1631 words)

	Erdos number facts (Site not responding. Last check: 2007-10-22)
		Indeed, “Grossman numbers” have a median of 6 and a mean of 5.81, and range as high as 17.
		In addition to these people with finite Erdös number of the second kind, there are about 55,000 mathematicians who have collaborated but have an infinite Erdös number of the second kind (this is about 10,000 greater than the corresponding number for Erdös numbers of the first kind).
		Thus the median Erdös number of the second kind is 6; the mean is 5.63, and the standard deviation is 1.63, a little higher than the corresponding statistics for Erdös numbers of the first kind, as would be expected.
	www.mathinfo.u-picardie.fr /alex/trivia.html (1675 words)

	Problem F: Erdös Numbers (Site not responding. Last check: 2007-10-22)
		Your task is to write a program which computes Erdös numbers for a given set of scientists.
		i" (where i is the number of the scenario) and the author names together with their Erdös number of all authors in the list of names.
		The Erdös number is based on the papers in the paper database of this scenario.
	online-judge.uva.es /problemset/v100/10044.html (404 words)

	Erdos number - Wikipedia
		The Erdös number of a mathematician is determined as follows:
		The Erdos number honours the late Hungarian mathematician Paul Erdös who was one of the most prolific publishers of papers in mathematical history.
		The Bacon number is an application of the same idea to the movie industry.
	nostalgia.wikipedia.org /wiki/Erdos_number (172 words)

	Crooked Timber » » Degrees of separation (Site not responding. Last check: 2007-10-22)
		This is of particular interest since it’s at least arguable that a joint post would count as co-authorship for Erdos number purposes (this comes back to the question, frequently discussed on this blog, of whether and how blog contributions should be listed on vitas).
		The Erdos number site asserts that numbers as high as 15 have been found, but that nearly everyone with a finite Erdos number is below 8.
		As the generations pass, I think the numbers will creep up very slowly, as there become fewer people with number 1 to collaborate with, then fewer with number 2, etc. But we won’t be around to see that happen.
	www.crookedtimber.org /archives/001720.html (625 words)

	Social Networking in Academia -- The Collaboration Network of Paul Erdos
		These collaborations became so famous that soon mathematicians were keeping track of their Erdõs Numbers.
		If you co-authored an article with Erdõs you have a number of 1, if you co-authored a paper with one of his direct collaborators you have an Erdõs Number of 2, and so on.
		Jerry Grossman maintains a data repository of Erdõs numbers and collaborators -- The Erdõs Number Project -- from which I constructed the collaborator graph.
	www.orgnet.com /Erdos.html (344 words)

	Theorems for Sale: Science News Online, June 12, 2004 (Site not responding. Last check: 2007-10-22)
		Trumpeting the title "Decrease your Erdös number!" the auction presented bidders with the chance to collaborate on a research project with the seller, who had collaborated with someone who had collaborated with someone who had collaborated with someone who had collaborated with Paul Erdös, the Hungarian mathematical prodigy who died in 1996.
		Yet in some parts of the world, Burillo says, Erdös numbers are taken very seriously, and mathematicians post their number prominently on their résumés.
		Even where that is not the case, he says, the number of papers a mathematician or scientist publishes can play a critical role in his or her advancement.
	sciencenews.org /articles/20040612/bob8.asp (1575 words)

	Rinovia Simanjuntak: My Erdos Number (Site not responding. Last check: 2007-10-22)
		Erdös number is a way for Mathematicians to explain their connections to Erdös.
		The number starts with Erdös, who is the only person with Erdös number 0.
		One has Erdös number 1 if he or she had published a paper with Erdös; it is 2 if he or she had published with Erdös’ co-authors, and so on.
	www.cs.newcastle.edu.au /~rino/erdos.html (566 words)

	EGO Magazine: Google and the Erdos Number
		Paul Erdos [left] himself was a quaint mathematician who most of his life did not have even an apartment or a wife, but lived out of a plastic bag as a traveling vagabond from one mathematician’s home to another.
		Even though Erdos died in 1996, some have estimated that 9 in 10 of the world's active mathematicians today have an Erdos number smaller than 10.
		Erdos had number 0 because Erdos was an authorative source in mathematics.
	www.egothemag.com /archives/2005/08/post_7.htm (1033 words)

	Ivars Peterson's MathLand
		Another 4,566 people have the number 2 because they wrote a paper not with Erdos himself but with someone who wrote a paper with Erdos.
		The Erdos number 3 goes to anyone who has collaborated with someone who has written a paper with someone who coauthored a paper with Erdos, and so on.
		Mathematicians can try to work out their own Erdos numbers, just to see where they fit into the webby world of mathematics.
	www.maa.org /mathland/mathland_6_10.html (927 words)

	Erdos number Article, Erdosnumber Information (Site not responding. Last check: 2007-10-22)
		On April 20, 2004 Bill Tozier, a researcher with Erdős number 4, offered the chance forcollaboration to attain an Erdős number 5 in an auction on eBay [1].
		Another eBay auction [2] offered anErdős number of 2 for a prospective paper to be submitted for publication to Chance (a magazine of the American Statistical Association) aboutskill in the World Series of Poker and the World Poker Tour.
		This is noteworthy because with the exceptionof a few co-authored articles to be published posthumously, this is the minimum number that can now be achieved.
	www.anoca.org /erd/numbers/erdos_number.html (459 words)

	Paul Erdos dies (Site not responding. Last check: 2007-10-22)
		His contributions to number theory and to combinatorics were immense.
		If you have written a paper with someone whose Erdös number is 1, your Erdös number is 2.
		In general, your Erdös number counts the number of collaborations that link you to Erdös.
	www.maa.org /past/erdos.html (267 words)

	Erdos number (Site not responding. Last check: 2007-10-22)
		I collaborated with Ravi Sandhu, and he collaborated with Richard J. Lipton, whose Erdös number is 2.
		It is conjectured that nearly all living mathematicians have an Erdös number of 7 or less, and everyone in related fields (such as computer science) has an Erdös number less than 15.
		There are 507 people with Erdös number 1 and 5897 with Erdös number 2 as of January, 2000.
	csrc.nist.gov /staff/kuhn/erdos-number.html (176 words)

	my Erdös number (Site not responding. Last check: 2007-10-22)
		Paul Erdös (1913–1996), the widely-traveled and incredibly prolific Hungarian mathematician of the highest caliber, wrote hundreds of mathematical research papers in many different areas, many in collaboration with others.
		People other than Erdös who have written a joint paper with someone with Erdös number 1 but not with Erdös have Erdös number 2, and so on.
		If there is no chain of co-authorships connecting someone with Erdös, then that person’s Erdös number is said to be infinite.
	www.dimi.uniud.it /~marcone/erdos.htm (119 words)

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