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Summary notes - AIHL Graph Theory $2.99   Add to cart

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Summary notes - AIHL Graph Theory

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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.

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  • 15
  • May 24, 2023
  • 3
  • 2022/2023
  • Summary
  • Secondary school
  • 5
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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

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