Short and brief summary for Graph theory according to the IB AIHL syllabus, contain definitions of key terms, and methods used to solve the chinese postman problem, traveling salesman, etc.
GRAPH THEORY
vertices point in a directedgraph between avertices
graph set ofedges
t inorder a simplegraph noloops or
iigtej.int ieiriiisYiiitner multipleedges
weightedgraphs adianency matrix or directedgraph
mannnn
a vertices adjacent if they are directly andin
connectedby anedge
represents costtime or
for g
co o 1
walk any sequence of vertices passedthrough
mm
numberofdirectconnectionsbetween
vertex i and j i
o it o it a graph has adjacency matrix
a.IE Jwa
adjacency table indicatesnumberofdirectconnection I M
t o lo
in o
oo io
m then Mngivesthe numberof
walkwithlength n
M ij is number of walk with
length n betweenvertex i dj
betweenvertices ex goingfrom a s in 3 step orless
adjacency matrix
enging i a walks oflength 3 or
have symmetrical
dgg lessfrom a c
11 cyme a walk that begins andends with the same vertex and
has nootherrepeatedvertices
iffy
directedgraph edges are assigned adirection
man
n Tree connectedgraph withno cycle
a vertices
spanning tree queggesphinot
tygthatcontains all
disconnected
IT
ome te
aconnectedsubgraphs
A loopconnects a vertex to itself 2 edges are
parallel if theyconnect the same vertices
y
spanningtree tree
a p
The benefits of buying summaries with Stuvia:
Guaranteed quality through customer reviews
Stuvia customers have reviewed more than 700,000 summaries. This how you know that you are buying the best documents.
Quick and easy check-out
You can quickly pay through credit card or Stuvia-credit for the summaries. There is no membership needed.
Focus on what matters
Your fellow students write the study notes themselves, which is why the documents are always reliable and up-to-date. This ensures you quickly get to the core!
Frequently asked questions
What do I get when I buy this document?
You get a PDF, available immediately after your purchase. The purchased document is accessible anytime, anywhere and indefinitely through your profile.
Satisfaction guarantee: how does it work?
Our satisfaction guarantee ensures that you always find a study document that suits you well. You fill out a form, and our customer service team takes care of the rest.
Who am I buying these notes from?
Stuvia is a marketplace, so you are not buying this document from us, but from seller emznotes. Stuvia facilitates payment to the seller.
Will I be stuck with a subscription?
No, you only buy these notes for $2.99. You're not tied to anything after your purchase.