mathematics

Jan Kratochvíl

Jan Kratochvíl 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 Jan Kratochvíl rather than just read about it. In short: Jan Kratochvíl (born 10 February 1959) is a Czech mathematician and computer scientist whose research concerns graph theory and intersection graphs. Kratochvíl was born on 10 February 1959 in Prague.

Key takeaways

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

Reference excerpt

Jan Kratochvíl (born 10 February 1959) is a Czech mathematician and computer scientist whose research concerns graph theory and intersection graphs. Kratochvíl was born on 10 February 1959 in Prague. He studied at Charles University in Prague, earning a master's degree in 1983 and a Ph.D. in 1987; his dissertation, supervised by Jaroslav Nešetřil, combined graph theory with coding theory. He remained at Charles University as a faculty member, earned his habilitation in 1995, and was promoted to full professor in 2003. From 2003 to 2011 he chaired the department of applied mathematics at Charles University, and from 2012 to 2020 he was the dean of the Faculty of Mathematics and Physics there. Kratochvíl was the program chair and organizer of the 7th International Symposium on Graph Drawing, in 1999. From 2002 to 2010 he was president of the Czech Mathematical Society. Since March 2021, Kratochvíl is editor-in-chief of Elsevier's Computer Science Review (Impact Factor: 7.7), together with Giuseppe Liotta and Jaroslav Nešetřil.

References

External links Home page Google scholar profile

Illustrations

Worked examples

Example 1 — a first encounter with Jan Kratochvíl

Start with the simplest possible case. Write down what Jan Kratochvíl 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 Jan Kratochvíl 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 Jan Kratochvíl 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 Jan Kratochvíl

In research: Jan Kratochvíl 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 Jan Kratochvíl 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: Jan Kratochvíl is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1959 births, 20th-century Czech mathematicians, 21st-century Czech mathematicians, so understanding it makes those chapters shorter.
In everyday life: Look for Jan Kratochvíl 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 Jan Kratochvíl in 20 minutes

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

Frequently asked questions

What is Jan Kratochvíl in simple terms?

Why does Jan Kratochvíl 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 Jan Kratochvíl?

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 Jan Kratochvíl.