Saturday, June 4, 2011

A-level Computing/AQA/Problem Solving, Programming, Operating Systems, Databases and Networking/Programming Concepts

A-level Computing/AQA/Problem Solving, Programming, Operating Systems, Databases and Networking/Programming Concepts: "

Simple Graphs:






































































































































































































































































































































































































































































← Older revision Revision as of 12:30, 4 June 2011
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| colspan="3" |<center>no-loops, no multi-edges, no directions</center>
| colspan="3" |<center>no-loops, no multi-edges, no directions</center>
|}
|}
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  +
{{ExerciseRobox|title=Exercise: Simple Graphs}}
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Give the definition of a simple graph
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{| class='collapsible collapsed' style='border: none;'
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| '''Answer:'''
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! colspan="2" | &nbsp;
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|-
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| colspan="2" | &nbsp;&nbsp;&nbsp; All of them – everything is done by consensus.
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| &nbsp;
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|}
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Which of the following graphs are simple graphs?
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  +
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{| class='collapsible collapsed' style='border: none;'
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| '''Answer:'''
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! colspan="2" | &nbsp;
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|-
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| colspan="2" | &nbsp;&nbsp;&nbsp; All of them – everything is done by consensus.
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| &nbsp;
  +
|}
  +
{{Robox/Close}}
===How to store graphs on computers===
===How to store graphs on computers===
Line 1,855: Line 1,876:
| &nbsp;
| &nbsp;
|}
|}
-  
-  
Draw a graph for the following Adjacency Matrix:
Draw a graph for the following Adjacency Matrix:
-


+

{| class='wikitable'
-
{| class='collapsible collapsed' style='border: none;'
 
-
| '''Answer:'''
 
-
! colspan="2" | &nbsp;
 
|-
|-
-

| colspan="2" | &nbsp;&nbsp;&nbsp; All of them – everything is done by consensus.
+

! !! A !! B !! D !! F !! N
-

| &nbsp;
+

|-
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| A || 0 || 0 || 1 || 1 || 0
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|-
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| B || 0 || 0 || 0 || 1 || 1
  +
|-
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| D || 0 || 0 || 1 || 0 || 1
  +
|-
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| F || 1 || 0 || 1 || 0 || 0
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|-
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| N || 0 || 0 || 1 || 0 || 0
|}
|}
-  
-
Draw a graph for the following Adjacency Matrix
 
-  
{| class='collapsible collapsed' style='border: none;'
{| class='collapsible collapsed' style='border: none;'
| '''Answer:'''
| '''Answer:'''
! colspan="2" | &nbsp;
! colspan="2" | &nbsp;
|-
|-
-

| colspan='2' | &nbsp;&nbsp;&nbsp; All of them – everything is done by consensus.
+

| colspan='2' | [[File:CPT-Graphs-directed-unweighted-ex1.svg|175px]]
| &nbsp;
| &nbsp;
|}
|}
Draw a graph for the following Adjacency Matrix
Draw a graph for the following Adjacency Matrix
-


+

{| class='wikitable'
  +
|-
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! !! A !! B !! D !! F !! N
  +
|-
  +
| A || ∞ || 14 || ∞ || ∞ || ∞
  +
|-
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| B || ∞ || ∞ || 23 || 13 || ∞
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|-
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| D || 5 || ∞ || ∞ || ∞ || ∞
  +
|-
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| F || 43 || ∞ || ∞ || ∞ || 33
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|-
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| N || ∞ || 22 || ∞ || 11 || ∞
  +
|}
{| class='collapsible collapsed' style='border: none;'
{| class='collapsible collapsed' style='border: none;'
| '''Answer:'''
| '''Answer:'''
! colspan="2" | &nbsp;
! colspan="2" | &nbsp;
|-
|-
-

| colspan='2' | &nbsp;&nbsp;&nbsp; All of them – everything is done by consensus.
+

| colspan='2' | [[File:CPT-Graphs-directed-weighted-ex2.svg|175px]]
| &nbsp;
| &nbsp;
|}
|}
"

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