mathematics

Regina Tyshkevich

Regina Tyshkevich 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 Regina Tyshkevich rather than just read about it. In short: Regina Iosifovna Tyshkevich (Belarusian: Рэгіна Іосіфаўна Тышкевіч; 20 October 1929 – 17 November 2019) was a Belarusian mathematician, an expert in graph theory, Doctor of Physical and Mathematical Sciences, professor of the Belarusian State University. Her main scientific interests included Intersection graphs, degree sequences, and the reconstruction conjecture.

Key takeaways

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

Reference excerpt

Regina Iosifovna Tyshkevich (Belarusian: Рэгіна Іосіфаўна Тышкевіч; 20 October 1929 – 17 November 2019) was a Belarusian mathematician, an expert in graph theory, Doctor of Physical and Mathematical Sciences, professor of the Belarusian State University. Her main scientific interests included Intersection graphs, degree sequences, and the reconstruction conjecture. She was also known for an independent introduction and investigation of the class of split graphs and for her contributions to line graphs of hypergraphs. In 1998, she was awarded the Belarus State Prize for her book Lectures in Graph Theory. Of note is her textbook An Introduction into Mathematics, written together with her two colleagues. In October 2009 an international conference "Discrete Mathematics, Algebra, and their Applications", sponsored by the Central European Initiative, was held in Minsk, Belarus in honor of her 80th anniversary. Regina Tyshkevich was a direct descendant of the Tyszkiewicz magnate family, therefore her colleagues sometimes called her "the countess of graph theory", which is a pun in the Russian language: the Russian word "граф" (graf) is a homonym for two words meaning "count" and "graph".

Books and selected publications (With Dmitry Suprunenko) "Commutative Matrices", 1968, Academic Press ISBN 0-12-677050-6 Russian original: "Perestanovochnye matritsy" 1966, 2nd edition: 2003, ISBN 5-354-00437-3 (With Emilichev, V. A., Melnikov, O. I., Sarvanov, V. I.) "Lectures on Graph Theory", B. I. Wissenschaftsverlag, 1994 ISBN 3-411-17121-9 Russian original: "Lektsii po teorii grafov", 1990 (With O. Melnikov and V. Sarvanov, etc.) "Exercises in Graph Theory", Kluwer Academic Publishers, 1998, ISBN 0-7923-4906-7 "Linear Algebra and Analytical Geometry (Линейная алгебра и аналитическая геометрия) Кононов С.Г., Тышкевич Р.И., Янчевский В.И. "Введение в математику" ("An Introduction into Mathematics") 3 volumes, Minsk, Belarusian State University, 2003 R.I. Tyshkevich. Decomposition of graphical sequences and unigraphs // Discrete Math., 2000, Vol. 220, p. 201 - 238. Yury Metelsky, Regina Tyshkevich: Line Graphs of Helly Hypergraphs. SIAM Journal on Discrete Mathematics 16(3): 438-448 (2003)

State awards 1979 (Почетная грамота Министерства высшего и среднего образования БССР «За многолетнюю плодотворную научно-методическую деятельность»); 1985: Veteran of Labor Medal (Медаль «Ветеран труда»); 1992: (почетное звание «Заслуженный работник народного образования Республики Беларусь») 1998: Belarus State Prize (государственная премия Республики Беларусь); 2009: Medal of Francysk Skaryna

References

Worked examples

Example 1 — a first encounter with Regina Tyshkevich

Start with the simplest possible case. Write down what Regina Tyshkevich 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 Regina Tyshkevich 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 Regina Tyshkevich 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 Regina Tyshkevich

In research: Regina Tyshkevich 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 Regina Tyshkevich 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: Regina Tyshkevich is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1929 births, 2019 deaths, 20th-century Belarusian mathematicians, so understanding it makes those chapters shorter.
In everyday life: Look for Regina Tyshkevich 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 Regina Tyshkevich in 20 minutes

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

Frequently asked questions

What is Regina Tyshkevich in simple terms?

Why does Regina Tyshkevich 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 Regina Tyshkevich?

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 Regina Tyshkevich.