mathematics

Mark Ellingham

Mark Ellingham 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 Mark Ellingham rather than just read about it. In short: Mark Norman Ellingham is a professor of mathematics at Vanderbilt University whose research concerns graph theory. With Joseph D.

Key takeaways

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

Reference excerpt

Mark Norman Ellingham is a professor of mathematics at Vanderbilt University whose research concerns graph theory. With Joseph D. Horton, he is the discoverer and namesake of the Ellingham–Horton graphs, two cubic 3-vertex-connected bipartite graphs that have no Hamiltonian cycle. Ellingham earned his Ph.D. in 1986 from the University of Waterloo under the supervision of Lawrence Bruce Richmond. In 2012, he became one of the inaugural fellows of the American Mathematical Society.

References

Illustrations

Worked examples

Example 1 — a first encounter with Mark Ellingham

Start with the simplest possible case. Write down what Mark Ellingham 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 Mark Ellingham 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 Mark Ellingham 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 Mark Ellingham

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

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

Frequently asked questions

What is Mark Ellingham in simple terms?

Mark Norman Ellingham is a professor of mathematics at Vanderbilt University whose research concerns graph theory. With Joseph D.

Why does Mark Ellingham 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 Mark Ellingham?

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 Mark Ellingham.