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November 16th, 2017, 09:06 AM  #1 
Senior Member Joined: Apr 2014 From: Glasgow Posts: 2,135 Thanks: 720 Math Focus: Physics, mathematical modelling, numerical and computational solutions  Graph theory book
Hello! 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. Ta! 
November 16th, 2017, 10:58 AM  #2 
Senior Member Joined: Jun 2015 From: England Posts: 891 Thanks: 269 
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 
November 17th, 2017, 02:10 AM  #3 
Senior Member Joined: Jun 2015 From: England Posts: 891 Thanks: 269 
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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