science

Sousselier graph

Sousselier graph is a science 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 Sousselier graph rather than just read about it. In short: The Sousselier graph is, in graph theory, a hypohamiltonian graph with 16 vertices and 27 edges. It has book thickness 3 and queue number 2.

Key takeaways

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

Reference excerpt

The Sousselier graph is, in graph theory, a hypohamiltonian graph with 16 vertices and 27 edges. It has book thickness 3 and queue number 2.

History Hypohamiltonian graphs were first studied by Sousselier in Problèmes plaisants et délectables (1963) . In 1967, Lindgren builds an infinite sequence of hypohamiltonian graphs. The graphs of this sequence all have 6k+10 vertices, for every integer k. The same sequence of hypohamiltonian graphs is independently built by Sousselier. In 1973 Chvátal explains in a scientific paper how edges can be added to some hypohamiltonian graphs in order to build new ones of the same order, and he names Bondy

as the original author of the method. As an illustration, he shows that two edges can be added to the second graph of the Lindgren sequence (which he names Sousselier sequence) in order to build a new hypohamiltonian graph on 16 vertices. This graph is named the Sousselier graph.

References

Illustrations

Worked examples

Example 1 — a first encounter with Sousselier graph

Start with the simplest possible case. Write down what Sousselier graph claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In science, 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 Sousselier graph 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 Sousselier graph 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 Sousselier graph

In research: Sousselier graph appears in science 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 Sousselier graph 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: Sousselier graph is common in secondary-school and first-year university syllabi. It links to neighbouring topics Individual graphs, so understanding it makes those chapters shorter.
In everyday life: Look for Sousselier graph 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 Sousselier graph in 20 minutes

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

Frequently asked questions

What is Sousselier graph in simple terms?

The Sousselier graph is, in graph theory, a hypohamiltonian graph with 16 vertices and 27 edges. It has book thickness 3 and queue number 2.

Why does Sousselier graph matter?

Because it connects several science 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 Sousselier graph?

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 Sousselier graph.