mathematics

Lorna Stewart

Lorna Stewart 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 Lorna Stewart rather than just read about it. In short: Lorna Kay Stewart is a retired Canadian computer scientist and discrete mathematician whose research concerns algorithms in graph theory and special classes of graphs, including cographs, permutation graphs, interval graphs, comparability graphs and their complements, well-covered graphs, and asteroidal triple-free graphs. She earned her Ph.D. in 1985 at the University of Toronto under the supervision of Derek Corne…

Key takeaways

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

Reference excerpt

Lorna Kay Stewart is a retired Canadian computer scientist and discrete mathematician whose research concerns algorithms in graph theory and special classes of graphs, including cographs, permutation graphs, interval graphs, comparability graphs and their complements, well-covered graphs, and asteroidal triple-free graphs. She earned her Ph.D. in 1985 at the University of Toronto under the supervision of Derek Corneil, and is a professor emerita at the University of Alberta.

Selected publications Corneil, D. G.; Perl, Y.; Stewart, L. K. (1985), "A linear recognition algorithm for cographs", SIAM Journal on Computing, 14 (4): 926–934, doi:10.1137/0214065, MR 0807891, Zbl 0575.68065 Spinrad, Jeremy; Brandstädt, Andreas; Stewart, Lorna (1987), "Bipartite permutation graphs", Discrete Applied Mathematics, 18 (3): 279–292, doi:10.1016/0166-218X(87)90064-3, MR 0917130, Zbl 0628.05055 Sankaranarayana, Ramesh S.; Stewart, Lorna K. (1992), "Complexity results for well-covered graphs", Networks, 22 (3): 247–262, doi:10.1002/net.3230220304, MR 1161178, Zbl 0780.90104 Kratsch, Dieter; Stewart, Lorna (1993), "Domination on cocomparability graphs", SIAM Journal on Discrete Mathematics, 6 (3): 400–417, doi:10.1137/0406032, MR 1229694, Zbl 0780.05032 Corneil, Derek G.; Olariu, Stephan; Stewart, Lorna (1997), "Asteroidal triple-free graphs", SIAM Journal on Discrete Mathematics, 10 (3): 399–430, doi:10.1137/S0895480193250125, MR 1459947, Zbl 0884.05075 Corneil, Derek G.; Olariu, Stephan; Stewart, Lorna (October 2009), "The LBFS structure and recognition of interval graphs", SIAM Journal on Discrete Mathematics, 23 (4): 1905–1953, doi:10.1137/S0895480100373455, MR 2594964, Zbl 1207.05131

References

External links Home page

Worked examples

Example 1 — a first encounter with Lorna Stewart

Start with the simplest possible case. Write down what Lorna Stewart 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 Lorna Stewart 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 Lorna Stewart 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 Lorna Stewart

In research: Lorna Stewart 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 Lorna Stewart 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: Lorna Stewart is common in secondary-school and first-year university syllabi. It links to neighbouring topics Academic staff of the University of Alberta, Canadian computer scientists, Canadian mathematicians, so understanding it makes those chapters shorter.
In everyday life: Look for Lorna Stewart 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 Lorna Stewart in 20 minutes

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

Frequently asked questions

What is Lorna Stewart in simple terms?

Why does Lorna Stewart 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 Lorna Stewart?

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 Lorna Stewart.