Haim Hanani

{{Short description|Israeli mathematician}}

{{Infobox scientist

| name = Haim Hanani (Chaim Chojnacki)

| native_name = חיים חנני

| native_name_lang = he

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| birth_date = {{Birth date|1912|9|11|df=y}}

| birth_place = Słupca, Poland

| death_date = {{Death date and age|1991|4|8|1912|9|11|df=y}}

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| fields = Mathematics

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| alma_mater = Hebrew University

| thesis_title = A contribution to the four color problem

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| thesis_year = 1938

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Haim Hanani (Hebrew: חיים חנני) ({{Birth date|1912|9|11|df=y}} as Chaim Chojnacki– 8 April 1991)[https://data.bnf.fr/en/17226189/haim_hanani/ BnF: Haim Hanani (1912-1991)] was a Polish-born Israeli mathematician, known for his contributions to combinatorial design theory, in particular for the theory of pairwise balanced designs and for the proof of an existence theorem for Steiner quadruple systems.{{cite book |title=Combinatorial Designs: A Tribute to Haim Hanani |author=Hartman, A. |isbn=9780444881151 |lccn=lc89023148 |series=Annals of Discrete Mathematics |url=https://archive.org/details/combinatorialdes0000hart |url-access=registration |year=1989 |publisher=Elsevier Science}}{{cite journal |journal=Notices of the AMS |publisher=American Mathematical Society |page=686 |volume=42 |issue=6 |title=Deaths|department=Mathematics People|url=https://www.ams.org/notices/199506/people.pdf|date=June 1995 }} He is also known for the Hanani–Tutte theorem on odd crossings in non-planar graphs.

Life

Hanani (Chojnacki) was born in Poland, studied in Vienna and Warsaw, and graduated with an M.A. from the University of Warsaw in 1934. He emigrated to the British Mandate of Palestine, later to become Israel, in 1935 and in 1938 received the first Ph.D. in Mathematics from the Hebrew University of Jerusalem.

In 1955 he was appointed to the faculty at Technion Institute of Technology and from 1969 to 1973 he served as the rector of Ben-Gurion University in Beersheba. In 1980 he was awarded the title of Professor Emeritus at that institution.

His early research led to the proof of the theorem devised by Richard M. Wilson on pairwise balance designs.

He wrote scholarly papers with Andries Brouwer, Paul Erdős, Alexander Schrijver, and Richard M. Wilson, among others.{{cite web |title= Haim Hanani List of Publications |publisher=Leibniz-Zentrum für Informatik |url= http://dblp.dagstuhl.de/db/indices/a-tree/h/Hanani:Haim.html |accessdate=10 November 2012 }}

His papers were published in journals such as Discrete Mathematics, the Journal of Combinatorial Theory, the European Journal of Combinatorics, and the American Mathematical Monthly.

Academic papers

  • {{cite journal

|author = Haim Hanani

|author2 = Alan Hartman

|author3 = Earl S. Kramer

|title = On three-designs of small order

|journal = Discrete Mathematics

|volume = 45

|year = 1983

|pages = 75–97

|issue = 1

|doi = 10.1016/0012-365X(83)90177-2

|doi-access = free

}}

  • {{cite journal

|author = Haim Hanani

|title = A Class of Three-Designs

|journal = Journal of Combinatorial Theory

|volume = 26

|year = 1979

|pages = 1–19

|issue = 1

|doi = 10.1016/0097-3165(79)90050-5

|doi-access = free

}}

  • {{cite journal

|author = H. Hanani

|title = Balanced incomplete block designs and related designs

|journal = Discrete Mathematics

|volume = 11

|year = 1975

|pages = 255–369

|issue = 3

|doi = 10.1016/0012-365X(75)90040-0

|doi-access = free

}}

  • {{cite journal

|author = Haim Hanani

|title = On Resolvable Balanced Incomplete Block Designs

|journal = Journal of Combinatorial Theory

|volume = 17

|year = 1974

|pages = 275–289

|issue = 3

|doi = 10.1016/0097-3165(74)90093-4

|doi-access = free

}}

  • {{cite journal

|author = H. Hanani

|title = On resolvable designs

|journal = Discrete Mathematics

|volume = 3

|year = 1972

|pages = 343–357

|issue = 4

|doi = 10.1016/0012-365X(72)90091-X

|doi-access = free

}}

  • {{cite journal

|author = Haim Hanani

|title = On Balanced Incomplete Block Designs with Blocks Having Five Elements

|journal = Journal of Combinatorial Theory

|volume = 12

|year = 1972

|pages = 184–201

|issue = 2

|doi = 10.1016/0097-3165(72)90035-0

|doi-access = free

}}

  • {{cite journal

|author = P. Erdős

|author2 = H. Hanani

|title= On a limit theorem in combinatorical analysis

|year = 1963

|journal = Publicationes Mathematicae Debrecen

|volume = 10

|issue = 1–4

|pages = 10–13

|doi = 10.5486/PMD.1963.10.1-4.02

|s2cid = 253788338

|doi-access = free

}}

  • {{cite book

|chapter=Truncated finite planes

|author=Hanani, H.

|title=Combinatorics

|series=Proceedings of Symposia in Pure Mathematics

|volume=19

|pages=115–120

|year=1971

|doi=10.1090/pspum/019/0321765

|isbn=9780821814192

}}

  • {{cite journal

|title=On the number of orthogonal Latin squares

|author=Hanani, H.

|journal=Journal of Combinatorial Theory

|volume=8

|issue=3

|pages=247–271

|year=1970

|publisher=Elsevier

|doi=10.1016/s0021-9800(70)80079-5

|doi-access=free

}}

  • {{cite journal

|title=On some tactical configurations

|author=Hanani, H.

|journal=Canadian Journal of Mathematics

|url= https://books.google.com/books?id=25Ui6MkI12UC

|volume=15

|pages=702–722

|year=1963

|doi=10.4153/cjm-1963-069-5

|s2cid=124780978

|doi-access=free

}}

  • {{cite journal

|author=Haim Hanani

|year=1947

|title=Sur les changements des signes d'une série à termes complexes.

|volume=225

|issue=225

|pages=516–518

|journal=Comptes rendus des séances de l'Académie des Sciences

|doi=

|pmid=

|pmc=

|url=

}}

  • {{cite journal

|author=Haim Hanani

|title=Über wesentlich unplättbar Kurven im dreidimensionale Raume

|year=1935

|journal=Fundamenta Mathematicae

|volume=23

|issue=

|pages=135–142

|doi=

|url=

}}

  • {{cite journal

|author=Haim Hanani

|title=Decomposition of Hypergraphs into Octahedra

|year=1979

|journal=Transactions of the New York Academy of Sciences

|volume=319

|issue=1

|pages=260–264

|doi=10.1111/j.1749-6632.1979.tb32799.x

|bibcode=1979NYASA.319..260H

|s2cid=84036623

|url=

}}

  • {{cite journal

|author=Haim Hanani

|title=Resolvable designs

|year=1976

|journal=Colloquio Internazionale Sulle Teorie Combinatorie

|volume=17

|issue=

|pages=249–252

|publisher=Atti dei Convegni Lincei Roma

|doi=

|url=

}}

  • {{cite journal

|author=Haim Hanani

|author2=E. Netanyahu

|author3=M. Reichaw

|title=Eigenvalues of infinite matrices

|year=1968

|journal=Colloquium Mathematicum

|volume=19

|issue=

|pages=89–101

|doi=10.4064/cm-19-1-89-101

|url=

|doi-access=free

}}

  • {{cite journal

|author=Haim Hanani

|author2=D. Orenstein

|author3=V.T. Sós

|title=On the lottery problem

|year=1964

|journal=Publications of the Mathematical Institute of the Hungarian Academy of Sciences

|volume=9

|issue=8

|pages=155–158

|doi=

|url=

}}

  • {{cite journal

|author=Haim Hanani

|title=A note on Steiner triple systems

|year=1960

|journal=Math. Scandinavica

|volume=8

|issue=

|pages=154–156

|doi=10.7146/math.scand.a-10603

|url=

|doi-access=free

}}

  • {{cite journal

|author=Haim Hanani

|title=On the number of straight lines determined by η points

|year=1951

|journal=Riveon Lematematika

|volume=5

|issue=

|pages=10–11

|doi=

|url=

}}

References