mathematics

Katalin Vesztergombi

Katalin Vesztergombi 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 Katalin Vesztergombi rather than just read about it. In short: Katalin Vesztergombi (born July 17, 1948) is a Hungarian mathematician known for her contributions to graph theory and discrete geometry. A student of Vera T.

Key takeaways

Katalin Vesztergombi belongs to mathematics; place it in that map before memorising details.
Learn the definition first, then one example that makes the definition concrete.
Connect Katalin Vesztergombi to a quantity you can measure, compute or draw — that is where exam questions come from.
Reproduce the core statement of Katalin Vesztergombi from memory before moving on to harder problems.

Reference excerpt

Katalin Vesztergombi (born July 17, 1948) is a Hungarian mathematician known for her contributions to graph theory and discrete geometry. A student of Vera T. Sós and a co-author of Paul Erdős, she is an emeritus associate professor at Eötvös Loránd University.

Education As a high-school student in the 1960s, Vesztergombi became part of a special class for gifted mathematics students at Fazekas Mihály Gimnázium with her future collaborators László Lovász, József Pelikán, and others. She completed her Ph.D. in 1987 at Eötvös Loránd University. Her dissertation, Distribution of Distances in Finite Point Sets, is connected to the Erdős distinct distances problem and was supervised by Vera Sós.

Contributions Vesztergombi's research contributions include works on permutations,[PR] graph coloring and graph products,[XN] combinatorial discrepancy theory,[SS] distance problems in discrete geometry,[LD] geometric graph theory,[GR] the rectilinear crossing number of the complete graph,[CQ] and graphons.[D1][D2] With László Lovász and József Pelikán, she is the author of the textbook Discrete Mathematics: Elementary and Beyond.[DM]

Personal Vesztergombi is married to László Lovász, with whom she is also a frequent research collaborator.

Selected publications

Books

Research articles

References

Illustrations

Worked examples

Example 1 — a first encounter with Katalin Vesztergombi

Start with the simplest possible case. Write down what Katalin Vesztergombi 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 Katalin Vesztergombi 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 Katalin Vesztergombi 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 Katalin Vesztergombi

In research: Katalin Vesztergombi 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 Katalin Vesztergombi 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: Katalin Vesztergombi is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1948 births, 20th-century Hungarian mathematicians, 21st-century Hungarian mathematicians, so understanding it makes those chapters shorter.
In everyday life: Look for Katalin Vesztergombi 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 Katalin Vesztergombi in 20 minutes

Read the reference excerpt below once, without taking notes.
Close the page and write down what Katalin Vesztergombi 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.
Explain Katalin Vesztergombi out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Katalin Vesztergombi in simple terms?

Katalin Vesztergombi (born July 17, 1948) is a Hungarian mathematician known for her contributions to graph theory and discrete geometry. A student of Vera T.

Why does Katalin Vesztergombi 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 Katalin Vesztergombi?

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 Katalin Vesztergombi.