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0 votes
0 answers
532 views

Application of Graph Theory in Electrical Circuits

I've been learning about electrical circuits, and I can see how Graph Theory naturally lends itself well to problems with circuits. I was wondering what some examples of applications of Graph Theory ...
dfish's user avatar
  • 140
0 votes
1 answer
166 views

Areas of Applied Combinatorics

I love combinatorics, but do not really want to do pure math exclusively. I like the format of pure math (that is the theorem-proof-theorem-proof format), but would also like what to do research that ...
graphtheory123's user avatar
1 vote
1 answer
280 views

Practical examples/applications of independent sets in hypergraphs?

A hypergraph $H$ is a collection of subsets of a set $V$. And $V$ is called its vertex-set. And those subsets are called its edges (or hyperedges.) And an independent set of $H$ is a subset $I$ of $V$ ...
Connor's user avatar
  • 2,075
10 votes
1 answer
1k views

Application of Combinatorics/Graph Theory to Organic Chemistry?

Recently, I have been self-teaching graph theory and having an organic chemistry course at school. When I was learning isomer enumeration I found great resemblance between organic molecules and ...
Yuxiao Xie's user avatar
  • 8,656
8 votes
3 answers
4k views

Uses of the incidence matrix of a graph

The incidence matrix of a graph is a way to represent the graph. Why go through the trouble of creating this representation of a graph? In other words what are the applications of the incidence matrix ...
Asinomás's user avatar
  • 106k
29 votes
3 answers
2k views

Exceptional books on real world applications of graph theory.

What are some exceptional graph theory books geared explicitly towards real-world applications? I would be interested in both general books on the subject (essentially surveys of applied graph theory ...
Alexander Gruber's user avatar
  • 27.2k
2 votes
3 answers
2k views

Applications of the number of spanning trees in graphs

Let $G$ be a simple graph and denote by $\tau(G)$ the number of spanning trees of $G$. There are many results related to $\tau(G)$ for certain types of graphs. For example one of the prettiest (to me) ...
Jernej's user avatar
  • 5,032