Brendan McKay (mathematician)
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Brendan Damien McKay (born 26 October 1951) is an Australian
computer scientist A computer scientist is a scientist who specializes in the academic study of computer science. Computer scientists typically work on the theoretical side of computation. Although computer scientists can also focus their work and research on ...
and mathematician. He is currently an emeritus professor in the Research School of Computer Science at the
Australian National University The Australian National University (ANU) is a public university, public research university and member of the Group of Eight (Australian universities), Group of Eight, located in Canberra, the capital of Australia. Its main campus in Acton, A ...
(ANU). He has published extensively in
combinatorics Combinatorics is an area of mathematics primarily concerned with counting, both as a means and as an end to obtaining results, and certain properties of finite structures. It is closely related to many other areas of mathematics and has many ...
. Born in Melbourne, McKay received a Ph.D. in mathematics from the
University of Melbourne The University of Melbourne (colloquially known as Melbourne University) is a public university, public research university located in Melbourne, Australia. Founded in 1853, it is Australia's second oldest university and the oldest in the state ...
in 1980, and was appointed assistant professor of computer science at
Vanderbilt University Vanderbilt University (informally Vandy or VU) is a private university, private research university in Nashville, Tennessee, United States. Founded in 1873, it was named in honor of shipping and railroad magnate Cornelius Vanderbilt, who provide ...
in
Nashville Nashville, often known as Music City, is the capital and List of municipalities in Tennessee, most populous city in the U.S. state of Tennessee. It is the county seat, seat of Davidson County, Tennessee, Davidson County in Middle Tennessee, locat ...
in the same year (1980–1983). His thesis, ''Topics in Computational Graph Theory'', was written under the direction of Derek Holton. He was awarded the Australian Mathematical Society Medal in 1990.'Biography,'
/ref> He was elected a Fellow of the
Australian Academy of Science The Australian Academy of Science was founded in 1954 by a group of distinguished Australians, including Australian Fellows of the Royal Society of London. The first president was Sir Mark Oliphant. The academy is modelled after the Royal Soci ...
in 1997, and appointed professor of computer science at the ANU in 2000.


Mathematics

McKay is the author of at least 127 refereed articles. One of McKay's main contributions has been a practical algorithm for the
graph isomorphism problem The graph isomorphism problem is the computational problem of determining whether two finite graphs are isomorphic. The problem is not known to be solvable in polynomial time nor to be NP-complete, and therefore may be in the computational c ...
and its software implementation NAUTY (No AUTomorphisms, Yes?). Further achievements include proving with Stanisław Radziszowski that the Ramsey number R(4,5) = 25; proving with Radziszowski that no 4-(12, 6, 6)
combinatorial design Combinatorial design theory is the part of combinatorial mathematics that deals with the existence, construction and properties of systems of finite sets whose arrangements satisfy generalized concepts of ''balance'' and/or ''symmetry''. These co ...
s exist, determining with Gunnar Brinkmann, the number of posets on 16 points, and determining with Ian Wanless the number of
Latin square Latin ( or ) is a classical language belonging to the Italic branch of the Indo-European languages. Latin was originally spoken by the Latins in Latium (now known as Lazio), the lower Tiber area around Rome, Italy. Through the expansion o ...
s of size 11. Together with Brinkmann, he also developed the Plantri programme for generating planar triangulations and planar cubic graphs. The McKay–Miller–Širáň graphs, a class of highly-symmetric graphs with diameter two and many vertices relative to their degree, are named in part for McKay, who first wrote about them with Mirka Miller and Jozef Širáň in 1998.


Biblical cyphers

Outside of his specialty, McKay is best known for leading a team'Eliyahu Rips, mathematician who claimed to find hidden code in Bible, dies at 75,'
The Times of Israel ''The Times of Israel'' (ToI) is an Israeli multi-language online newspaper that was launched in 2012 and has since become the largest English-language Jewish and Israeli news source by audience size. It was co-founded by Israeli journalist Dav ...
31 August 2024.
of Israeli mathematicians such as Dror Bar-Natan and Gil Kalai, together with
Maya Bar-Hillel Maya Bar-Hillel (; born 1943) is a professor emeritus of psychology at the Hebrew University of Jerusalem. Known for her work on inaccuracies in human reasoning about probability, she has also studied decision theory in connection with Newcomb's ...
, who rebutted a Bible code theory advanced by
Eliyahu Rips Eliyahu Rips (; ; ; 12 December 1948 – 19 July 2024) was an Israeli mathematician of Latvian origin known for his research in geometric group theory. He became known to the general public following his co-authoring a paper on what is popularl ...
, Yoav Rosenberg and Doron Witztum, which maintained that the
Hebrew text Hebrew (; ''ʿÎbrit'') is a Northwest Semitic language within the Afroasiatic language family. A regional dialect of the Canaanite languages, it was natively spoken by the Israelites and remained in regular use as a first language until ...
of the Bible enciphered predictive details of future historical events. The paper in question had been accepted for publication by a scientific peer-reviewed journal in 1994. Their rebuttal, together with a paper written by an anonymous mathematician, argued that the patterns in the
Bible The Bible is a collection of religious texts that are central to Christianity and Judaism, and esteemed in other Abrahamic religions such as Islam. The Bible is an anthology (a compilation of texts of a variety of forms) originally writt ...
that supposedly indicate some hidden message from a divine source or have predictive power can be just as easily found in other works, such as ''
War and Peace ''War and Peace'' (; pre-reform Russian: ; ) is a literary work by the Russian author Leo Tolstoy. Set during the Napoleonic Wars, the work comprises both a fictional narrative and chapters in which Tolstoy discusses history and philosophy. An ...
''. The discredited theory was taken up by US journalist Michael Drosnin. Drosnin said he was convinced of this theory when one of its exponents stated that the
Torah The Torah ( , "Instruction", "Teaching" or "Law") is the compilation of the first five books of the Hebrew Bible, namely the books of Genesis, Exodus, Leviticus, Numbers and Deuteronomy. The Torah is also known as the Pentateuch () ...
predicted the Iraqi wars. He expressed his certainty publicly that such coded messages could not be found in any other work than the Bible, and, in an interview with
Newsweek ''Newsweek'' is an American weekly news magazine based in New York City. Founded as a weekly print magazine in 1933, it was widely distributed during the 20th century and has had many notable editors-in-chief. It is currently co-owned by Dev P ...
, he challenged: "When my critics find a message about the assassination of a prime minister encrypted in ''
Moby Dick ''Moby-Dick; or, The Whale'' is an 1851 Epic (genre), epic novel by American writer Herman Melville. The book is centered on the sailor Ishmael (Moby-Dick), Ishmael's narrative of the maniacal quest of Captain Ahab, Ahab, captain of the whaler ...
,'' I'll believe them." In response, McKay employed the same Bible decryption method described by Rips' group, quickly found some nine references to
Yitzhak Rabin Yitzhak Rabin (; , ; 1 March 1922 – 4 November 1995) was an Israeli politician, statesman and general. He was the prime minister of Israel, serving two terms in office, 1974–1977, and from 1992 until Assassination of Yitzhak Rabin, his ass ...
's assassination in
Herman Melville Herman Melville (Name change, born Melvill; August 1, 1819 – September 28, 1891) was an American novelist, short story writer, and poet of the American Renaissance (literature), American Renaissance period. Among his best-known works ar ...
's masterpiece. He also showed that the same technique allowed him to find ostensible mentions not only of the assassinations of Martin Luther King,
JFK John Fitzgerald Kennedy (May 29, 1917 – November 22, 1963), also known as JFK, was the 35th president of the United States, serving from 1961 until Assassination of John F. Kennedy, his assassination in 1963. He was the first Catholic Chur ...
, and
Abraham Lincoln Abraham Lincoln (February 12, 1809 – April 15, 1865) was the 16th president of the United States, serving from 1861 until Assassination of Abraham Lincoln, his assassination in 1865. He led the United States through the American Civil War ...
but also references to
Diana, Princess of Wales Diana, Princess of Wales (born Diana Frances Spencer; 1 July 1961 – 31 August 1997), was a member of the British royal family. She was the first wife of Charles III (then Prince of Wales) and mother of Princes William, ...
, her lover
Dodi Fayed Emad El-Din Mohamed Abdel Mena'em Fayed (; 15 April 195531 August 1997), commonly known as Dodi Fayed, was an Egyptian film producer and the eldest child of the businessman Mohamed Al-Fayed. He was romantically involved with Diana, Princess of W ...
, and their chauffeur Henri Paul in the same novel. Gérald Bronner
''Belief and Misbelief Asymmetry on the Internet,''
John Wiley & Sons, 2016 pp.50-51.
This debunking disproof of a theory that the bible encrypts secret messages containing future world history achieved international fame for McKay outside of his specific field of combinatorics.
Persi Diaconis Persi Warren Diaconis (; born January 31, 1945) is an American mathematician of Greek descent and former professional magician. He is the Mary V. Sunseri Professor of Statistics and Mathematics at Stanford University. He is particularly known f ...
, Ronald L. Graham
''Magical Mathematics: The Mathematical Ideas that Animate Great Magic Tricks,''
Princeton University Press Princeton University Press is an independent publisher with close connections to Princeton University. Its mission is to disseminate scholarship within academia and society at large. The press was founded by Whitney Darrow, with the financial ...
2011 p.43.'Brendan McKay came from Australia. He is a great combinatorialist who has achieved world-wide fame outside mathematics for his definite debunking of the so-called Bible codes'


Azzam Pasha quotation

McKay also uncovered the original source of the Azzam Pasha quotation. The original source, an 11 October 1947 article in the Egyptian newspaper Akhbar al-Yom, was first referenced in an article by David Barnett and
Efraim Karsh Efraim Karsh (; born 6 September 1953) is an Israeli and British historian who is the founding director and emeritus professor of Middle East and Mediterranean Studies at King's College London. Since 2013, he has served as professor of political ...
in the Fall 2011 issue of ''
Middle East Quarterly The Middle East Forum (MEF) is an American conservative 501(c)(3) think tank founded in 1990 by Daniel Pipes, who now serves as its chairman. Gregg Roman serves as director of the forum. MEF became an independent non-profit organization in 19 ...
'' without reference to McKay.David Barnett and
Efraim Karsh Efraim Karsh (; born 6 September 1953) is an Israeli and British historian who is the founding director and emeritus professor of Middle East and Mediterranean Studies at King's College London. Since 2013, he has served as professor of political ...
(2011)
"Azzam's Genocidal Threat".
''Middle East Quarterly'', 18 (4) pp. 85–88.
Tom Segev Tom Segev (; born March 1, 1945) is an Israeli historian, author and journalist. He is associated with Israel's New Historians, a group critical of many of the country's traditional narratives. Biography Segev was born on March 1, 1945 in Jeru ...
responded in an op-ed in ''
Haaretz ''Haaretz'' (; originally ''Ḥadshot Haaretz'' – , , ) is an List of newspapers in Israel, Israeli newspaper. It was founded in 1918, making it the longest running newspaper currently in print in Israel. The paper is published in Hebrew lan ...
'' that McKay had in fact been the original source of the material and had uploaded it to Wikipedia.Tom Segev
'"Makings of History / The Blind Misleading the Blind,"
''Haaretz'' 21 October 2011
McKay had notified the Wikipedia talk page of having found the original interview from which the quote was taken and later provided it to Barnett. According to Karsh, McKay was offered a co-author credit in the ''Middle East Quarterly'' article but he declined on the grounds of having a low opinion of the publication.


Further

He gave an invited talk at the International Congress of Mathematicians in 2010, on the topic of "Combinatorics". Notable students include Jeanette McLeod.


References


External links

*
Plantri and Fullgen
programs for generation of certain types of
planar graph In graph theory, a planar graph is a graph (discrete mathematics), graph that can be graph embedding, embedded in the plane (geometry), plane, i.e., it can be drawn on the plane in such a way that its edges intersect only at their endpoints. ...
s, developed by Brinkmann and McKay

Excerpt from a transcript of the debate between Drosnin and McKay, in October 1997 {{DEFAULTSORT:McKay, Brendan 20th-century Australian mathematicians 21st-century Australian mathematicians Australian computer scientists Academic staff of the Australian National University Combinatorialists University of Melbourne alumni Mathematicians from Melbourne 1951 births Living people Fellows of the Australian Academy of Science