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November 16th, 2017, 09:06 AM   #1
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Math Focus: Physics, mathematical modelling, numerical and computational solutions
Graph theory book


Can someone please recommend a good maths textbook for graph theory? Specifically, I'm interested in a reference text which starts from fundamental basics, such as the graph elements (vertices, edges, etc.), moves onto more interesting/difficult stuff, like derived properties of graphs and solutions to problems, and then finishes off with applications of graph theory and solution methods to interesting real world problems.

I'm a physicist, so anything friendly to undergraduates or recent postgraduate students is probably required, otherwise I'll be spending ages trying to figure out walls of text. I've had a look on Google but there's so many textbooks available that it's a bit daunting to choose one.

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November 16th, 2017, 10:58 AM   #2
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Discrete Mathematics for New Technologies

Garnier and Taylor : Adam Hilger pubs

Discrete Mathematics

Biggs : Oxford UP

Network Optimisation Practice

Smith : EllisHorwood

Surface Topology

Firby and Gardiner : Ellis Horwood

The last ref is very readable round the subject

Here is a bibliography from the first ref
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November 17th, 2017, 02:10 AM   #3
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I also meant to add that the Open University does a splendid set of course booklets for its course MT365 - Graphs, Networks and Design. These can sometime be found second hand.
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