Graph Theory Quotes

Come, let us hasten to a higher plane, Where dyads tread the fairy fields of Venn, Their indices bedecked from one to _ n, Commingled in an endless Markov chain!

Cancel me not - for what then shall remain? Abscissas, some mantissas, modules, modes, A root or two, a torus and a node: The inverse of my verse, a null domain.

Thus you see, most noble Sir, how this type of solution to the Königsberg bridge problem bears little relationship to mathematics, and I do not understand why you expect a mathematician to produce it, rather than anyone else, for the solution is based on reason alone, and its discovery does not depend on any mathematical principle.

I was lucky because logarithmic plots are a device of the devil.

The theory of ramification is one of pure colligation, for it takes no account of magnitude or position; geometrical lines are used, but these have no more real bearing on the matter than those employed in genealogical tables have in explaining the laws of procreation.

Logarithmic plots are a device of the devil.

Basically, we convert the entire Web into a big equation, with several hundred million variables, which are the page ranks of all the Web pages, and billions of terms, which are the links. And we're able to solve that equation.

Suppose aliens invade the earth and threaten to obliterate it in a year's time unless human beings can find the Ramsey number for red five and blue five. We could marshal the world's best minds and fastest computers, and within a year we could probably calculate the value. If the aliens demanded the Ramsey number for red six and blue six, however, we would have no choice but to launch a preemptive attack.

Because it's one of these sort of connections between nodes- every pair of people adds communication overhead.

Google created the intent graph. Facebook created the social graph. We are creating the emotional graph.

Trees sprout up just about everywhere in computer science.

Think about spam filters; if email didn't come from someone that someone you know knows, that's an important signal, and one we could embed in the environment; we just don't. I just want the world to be filtered through my social graph.

Anytime you want to hear about graph partitioning, I will be glad to tell you what I know about graph partitioning. It remains a standard problem. I think it's an interesting problem, because it shows up in a variety of guises in real life.

The important graphs are the ones where some things are not connected to some other things. When the unenlightened ones try to be profound, they draw endless verbal comparisons between this topic, and that topic, which is like this, which is like that; until their graph is fully connected and also totally useless.

To effectively leverage the social graph, every company needs to understand that they need to make their information easily transferable.

Topology is the science of fundamental pattern and structural relationships of event constellations.