L. W. Beineke
Encyclopedia
Lowell Wayne Beineke is a professor of graph theory at Indiana University-Purdue University Fort Wayne
. Beineke is known for his elegant characterization of line graph
s (derived graph) in terms of the nine Forbidden graph characterization.
Beineke has taught mathematics at Indiana University Purdue University Fort Wayne since 1965. He received a B.S. from Purdue University
in 1961 and a M.S. from the University of Michigan
in 1962 and a Ph.D., in 1965, his Ph.D. advisor was Frank Harary
. Beineke holds the Jack W. Schrey chair of mathematical sciences. Beineke was recipient of the Amoco Foundation the Outstanding Teaching Award in 1978, and again in 1992.
Indiana University-Purdue University Fort Wayne
Indiana University – Purdue University Fort Wayne is the largest university in northern Indiana, United States, offering more than 200 Indiana University and Purdue University degrees and certificates. Since 1968, IPFW has conferred nearly 8,800 master’s degrees, 27,000 bachelor’s degrees, more...
. Beineke is known for his elegant characterization of line graph
Line graph
In graph theory, the line graph L of undirected graph G is another graph L that represents the adjacencies between edges of G...
s (derived graph) in terms of the nine Forbidden graph characterization.
Beineke has taught mathematics at Indiana University Purdue University Fort Wayne since 1965. He received a B.S. from Purdue University
Purdue University
Purdue University, located in West Lafayette, Indiana, U.S., is the flagship university of the six-campus Purdue University system. Purdue was founded on May 6, 1869, as a land-grant university when the Indiana General Assembly, taking advantage of the Morrill Act, accepted a donation of land and...
in 1961 and a M.S. from the University of Michigan
University of Michigan
The University of Michigan is a public research university located in Ann Arbor, Michigan in the United States. It is the state's oldest university and the flagship campus of the University of Michigan...
in 1962 and a Ph.D., in 1965, his Ph.D. advisor was Frank Harary
Frank Harary
Frank Harary was a prolific American mathematician, who specialized in graph theory. He was widely recognized as one of the "fathers" of modern graph theory....
. Beineke holds the Jack W. Schrey chair of mathematical sciences. Beineke was recipient of the Amoco Foundation the Outstanding Teaching Award in 1978, and again in 1992.
Books
- Selected topics in graph theory, LW Beineke, R. J. Wilson, 1978, Academic PressAcademic PressAcademic Press is an academic book publisher. Originally independent, it was acquired by Harcourt, Brace & World in 1969. Reed Elsevier bought Harcourt in 2000, and Academic Press is now an imprint of Elsevier....
, New York
Research work
- Topological graph theory, AT White, LW Beineke, Selected Topics in Graph Theory, 1978
- "The thickness of the complete graph", LW Beineke, Frank HararyFrank HararyFrank Harary was a prolific American mathematician, who specialized in graph theory. He was widely recognized as one of the "fathers" of modern graph theory....
– Canadian Journal of Mathematics, 1965, books.google.com - Tournaments, K. B. ReidK. B. ReidKenneth Brooks Reid, Jr. is a graph theorist and the founder faculty professor at California State University, San Marcos. He specializes in combinatorial mathematics. He is known for his work in tournaments, frequency partitions and aspects of voting theory. He is known on a disproof of a...
, L. W. Beineke - Selected topics in graph theory, 1978 - "Characterizations of derived graphsLine graphIn graph theory, the line graph L of undirected graph G is another graph L that represents the adjacencies between edges of G...
", LW Beineke – J. Combin. Theory Ser. B, 1970