ArticleslgStudy

mathematics

Iván Gutman

Iván Gutman 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 Iván Gutman rather than just read about it. In short: Iván Gutman (born in 1947) is a Serbian chemist and mathematician. Life and work Gutman was born in Sombor, Yugoslavia, in a Bunjevac family.

Key takeaways

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

Reference excerpt

Iván Gutman (born in 1947) is a Serbian chemist and mathematician.

Life and work Gutman was born in Sombor, Yugoslavia, in a Bunjevac family. In 1970 he graduated chemistry from the University of Belgrade where he worked a short time as an assistant at the chemistry department. From 1971 until 1976 he worked as research assistant and senior research assistant at Ruđer Bošković Institute in Zagreb, department of physical chemistry. In 1973 he received M.Sc. degree from the University of Zagreb, in the area of theoretical organic chemistry. In the same year he received a doctorate degree in chemistry from the University of Zagreb. His supervisor was Nenad Trinajstić. From 1977 he worked at the University of Kragujevac, eventually becoming a full research professor in 1982. In 1981 he received a doctorate degree in mathematics from the University of Belgrade. From 2012 he is a professor emeritus at the University of Kragujevac. His research interests are theoretical organic chemistry, physical chemistry, mathematical chemistry, graph theory, spectral graph theory and discrete mathematics. Gutman is known for his work in chemical graph theory and topological descriptors. In mathematics he introduced the notion of graph energy, a concept originating from theoretical chemistry. With Chris Godsil he worked on the theory of the matching polynomial. He is a full member of the Serbian Academy of Arts and Sciences since 1997. Other memberships include membership in the International Academy of Mathematical Chemistry, the Academy of Nonlinear Sciences (Moscow) and Academia Europaea. Gutman is a collaborator on the Lexicon of Danube Croats for Croatian Academic Society 'HAD' in Subotica. He was elected a fellow of the International Core Academy of Sciences and Humanities.

See also Graph energy Wiener index Caterpillar tree Szeged index Aleksandar Despić Pavle Simić Milan Vukcevich Bogdan Đuričić Ljubisav Rakić Ivan Gutman Sima Lozanić Marko Leko Mihailo Rašković Zivojin Jocic

References

Selected publications A. Graovac; I. Gutman; N. Trinajstić; T. Živković (1972). "Graph theory and molecular orbitals: Application of Sachs theorem". Theor. Chim. Acta. 26 (1): 67–78. doi:10.1007/bf00527654. S2CID 101611868. I. Gutman; N. Trinajstić (1972). "Graph theory and molecular orbitals. Total ?-electron energy of alternant hydrocarbons". Chemical Physics Letters. 17 (4): 535–538. Bibcode:1972CPL....17..535G. doi:10.1016/0009-2614(72)85099-1. I. Gutman; M. Milun; N. Trinajstić (1975). "Topological Definition of Resonance Energy". MATCH Commun. Math. Computer Chem. 1: 171–175. I. Gutman; B. Ruscic; N. Trinajstić; C.F. Wilcox Jr. (1975). "Graph theory and molecular orbitals. XII. Acyclic polyenes". J. Chem. Phys. 62 (9): 1692–1704. Bibcode:1975JChPh..62.3399G. doi:10.1063/1.430994. I. Gutman; M. Milun; N. Trinajstić (1977). "Graph Theory and Molecular Orbitals. XIX. Non–Parametric Resonance Energies of Arbitrary Conjugated Systems". J. Am. Chem. Soc. 99 (6): 1692–1704. Bibcode:1977JAChS..99.1692G. doi:10.1021/ja00448a002. I. Gutman; O.E. Polansky (1986). Mathematical Concepts in Organic Chemistry. Springer-Verlag. I. Gutman (1994). "A formula for the Wiener number of trees and its extension to graphs containing cycles". Graph Theory Notes NY. 27: 9–15. I. Gutman (1994). "Selected properties of the Schultz molecular topological index". J. Chem. Inf. Comput. Sci. 34 (5): 1087–1089. doi:10.1021/ci00021a009. I. Gutman; B. Zhour (2006). "Laplacian energy of a graph". J. Am. Chem. Soc. 414 (1): 29–37. doi:10.1016/j.laa.2005.09.008.

Worked examples

Example 1 — a first encounter with Iván Gutman

Start with the simplest possible case. Write down what Iván Gutman 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 Iván Gutman 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 Iván Gutman 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 Iván Gutman

In research
Iván Gutman 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 Iván Gutman 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
Iván Gutman is common in secondary-school and first-year university syllabi. It links to neighbouring topics 1947 births, Living people, Serbian chemists, so understanding it makes those chapters shorter.
In everyday life
Look for Iván Gutman 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.
Ask Teacher Smith questions about this articleOpens your AI tutor with a question about “Iván Gutman” →

Affiliate

Preply — study more efficiently by working with a personal tutor. 50% off.

How to study Iván Gutman in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what Iván Gutman means in your own words.
  3. Compare your version with the excerpt and mark what you missed.
  4. Work through the three examples above with pen and paper.
  5. Explain Iván Gutman out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Iván Gutman in simple terms?

Iván Gutman (born in 1947) is a Serbian chemist and mathematician. Life and work Gutman was born in Sombor, Yugoslavia, in a Bunjevac family.

Why does Iván Gutman 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 Iván Gutman?

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 Iván Gutman.

Tags

  • 1947 births
  • Living people
  • Serbian chemists
  • Serbian mathematicians

Keep exploring