mathematics

Martin Charles Golumbic

Martin Charles Golumbic is a mathematics topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand Martin Charles Golumbic rather than just read about it. In short: Martin Charles Golumbic (born 1948) is a mathematician and computer scientist known for his research on perfect graphs, graph sandwich problems, tolerance graphs, compiler optimization, and spatial-temporal reasoning. He is a professor emeritus of computer science at the University of Haifa, and was the founder of the journal Annals of Mathematics and Artificial Intelligence.

Key takeaways

Martin Charles Golumbic belongs to mathematics; place it in that map before memorising details.
Learn the definition first, then one example that makes the definition concrete.
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Reproduce the core statement of Martin Charles Golumbic from memory before moving on to harder problems.

Reference excerpt

Martin Charles Golumbic (born 1948) is a mathematician and computer scientist known for his research on perfect graphs, graph sandwich problems, tolerance graphs, compiler optimization, and spatial-temporal reasoning. He is a professor emeritus of computer science at the University of Haifa, and was the founder of the journal Annals of Mathematics and Artificial Intelligence.

Education and career Golumbic majored in mathematics at Pennsylvania State University, graduating in 1970 with bachelor's and master's degrees. He completed his Ph.D. at Columbia University in 1975, with the dissertation Comparability Graphs and a New Matroid supervised by Samuel Eilenberg. He became an assistant professor in the Courant Institute of Mathematical Sciences of New York University from 1975 until 1980, when he moved to Bell Laboratories. From 1983 to 1992 he worked for IBM Research in Israel, and from 1992 to 2000 he was a professor of mathematics and computer science at Bar-Ilan University. He moved to the University of Haifa in 2000, where he founded the Caesarea Edmond Benjamin de Rothschild Institute for Interdisciplinary Applications of Computer Science. In 1989, Golumbic founded the Bar-Ilan Symposium in Foundations of Artificial Intelligence, a leading artificial intelligence conference in Israel. In 1990 Golumbic became the founding editor-in-chief of the journal Annals of Mathematics and Artificial Intelligence, published by Springer.

Recognition Golumbic is a fellow of the European Association for Artificial Intelligence (2005). He was elected to the Academia Europaea in 2013. At the 2019 Bar-Ilan Symposium in Foundations of Artificial Intelligence, Golumbic was given the Lifetime Achievement and Service Award of the Israeli Association for Artificial Intelligence.

Selected publications

Books Algorithmic Graph Theory and Perfect Graphs (Academic Press, 1980; 2nd ed., Elsevier, 2004) Tolerance Graphs (with Ann Trenk, Cambridge University Press, 2004) Fighting Terror Online: The Convergence of Security, Technology, and the Law (Springer, 2008) The Zeroth Book of Graph Theory: An Annotated Translation of Les Réseaux (ou Graphes)-André Sainte-Laguë (1926) (Springer, 2021)

Other publications Bernstein, D.; Golumbic, M.; Mansour, Y.; Pinter, R.; Goldin, D.; Krawczyk, H.; Nahshon, I. (July 1989). "Spill code minimization techniques for optimizing compilers". ACM SIGPLAN Notices. 24 (7): 258–263. doi:10.1145/74818.74841. Golumbic, Martin Charles; Shamir, Ron (November 1993). "Complexity and algorithms for reasoning about time". Journal of the ACM. 40 (5): 1108–1133. doi:10.1145/174147.169675. MR 1368960. S2CID 15708027. Goldberg, Paul W.; Golumbic, Martin C.; Kaplan, Haim; Shamir, Ron (January 1995). "Four strikes against physical mapping of DNA". Journal of Computational Biology. 2 (1): 139–152. doi:10.1089/cmb.1995.2.139. PMID 7497116. Golumbic, Martin Charles; Kaplan, Haim; Shamir, Ron (1995). "Graph sandwich problems". Journal of Algorithms. 19 (3): 449–473. doi:10.1006/jagm.1995.1047. MR 1355650. Golumbic, Martin Charles; Rotics, Udi (2000). "On the clique-width of some perfect graph classes". International Journal of Foundations of Computer Science. 11 (3): 423–443. doi:10.1142/S0129054100000260. MR 1792124.

References

External links Home page Martin Charles Golumbic publications indexed by Google Scholar

Illustrations

Worked examples

Example 1 — a first encounter with Martin Charles Golumbic

Start with the simplest possible case. Write down what Martin Charles Golumbic claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In mathematics, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to Martin Charles Golumbic before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about Martin Charles Golumbic ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of Martin Charles Golumbic

In research: Martin Charles Golumbic appears in mathematics research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry: Engineering practice reuses Martin Charles Golumbic in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom: Martin Charles Golumbic is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1948 births, 20th-century American mathematicians, 21st-century Israeli mathematicians, so understanding it makes those chapters shorter.
In everyday life: Look for Martin Charles Golumbic outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.

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How to study Martin Charles Golumbic in 20 minutes

Read the reference excerpt below once, without taking notes.
Close the page and write down what Martin Charles Golumbic means in your own words.
Compare your version with the excerpt and mark what you missed.
Work through the three examples above with pen and paper.
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Frequently asked questions

What is Martin Charles Golumbic in simple terms?

Why does Martin Charles Golumbic matter?

Because it connects several mathematics ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study Martin Charles Golumbic?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on Martin Charles Golumbic.