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# Graph - Part I (Logical Level) CSS 343

Marketplace > University of Washington > ComputerScienence > CSS 343 > Graph Part I Logical Level
NGHIEP NGO
UW
GPA 3.5
Data Structures, Algorithms, and Discrete Mathematics II
Dr. Min Chen

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Part I - Graph Introduction This guideline explains the idea of graph. It covers graph definition, components of the graph, connected & guide how to identify unconnected graph, articulation point....
COURSE
Data Structures, Algorithms, and Discrete Mathematics II
PROF.
Dr. Min Chen
TYPE
Study Guide
PAGES
9
WORDS
KARMA
50 ?

## Popular in ComputerScienence

This 9 page Study Guide was uploaded by NGHIEP NGO on Thursday October 8, 2015. The Study Guide belongs to CSS 343 at University of Washington taught by Dr. Min Chen in Fall 2015. Since its upload, it has received 161 views. For similar materials see Data Structures, Algorithms, and Discrete Mathematics II in ComputerScienence at University of Washington.

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Date Created: 10/08/15
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are said to be adjacent In Graphl Figure 98a vertices A and B are adjacent but vertices A and C are not a Emph1 i5 en undireeted graph weemeI e H e U empire he L Mr I r e m was If the vertices are eomeeeled by a directed edge then the rst vertex is said to be adjacent to the second and the second vertex is said to be adjacent from the first For example in GraphZ in Figure 98b vertex 5 is adjacent to vertices 7 and 9 While vertex 1 is adjacent from vertices 3 and 11 h Graph is a directed graph W mph 1 33 E 1 911 E ir ph H1 3 3 1II E if 5 9 11r LEE 9 11 1E Adjeeeht vertices Thel eer tiees in a graph that are een HEC EEEI quota an edge Path A Eerghenee hf verheee that E EETE the melee ih a graph Cempliei e grph A graph ih which eraserF1 Herrera i5 dureetl e ehhheeted h were ether eerteh Weighted graph 5 graph 391 whieh earsen edge earriee 3 value Path Complete Graph Weighted Graph A path fmrn une vertex te anather euguaieta eat a elf EFEl39 EE that ennheet them Far a path ta exiat an 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etey mphs Harlem Figure He llE A WEme graph Eraph AEIT 1 i ti i EtImEture The graph E f l i hf a 5E1 Elf 39HEHiEEE and 3 SEE if weightEd ErEEE that E 39l lEE E 5mm Dar all if 1111 waning m 3an anther perah n A ump n BEEFEsra any 31 i5 I d 1 a graph rp39EITEI DIL 39IIhE graph hag been declared and a Ebi atmtt f hag h E EI l app i du MEHEEITIEIIH F c m II IiIiEIjEE HE gra p39l m an Empty 5mm P m iadf n Graph i5 emptjg men Empltjpr F f TrEEtE whE EhEr IE graph i5 empty P r mdf Functinn yaqu graph i5 Empty Bataan HEPLIM Fum ru Team WhE IE thE graph is u a Pastmmii a Fu m iiun value graph i5 mm MUEHEEIWEHEKTWE werltexj Fum im Adda vert x m the graph Graph i5 Tit l Pusim di n is in VEraph MEdEJWEHEETWE frm iui erltmt Vertemwpe t D39VEF II39EJII Edge iui a uequpe W Eig h ltjl Fum ru Adda an Edge with 39lE Speci d w g h Emm Emm VErtex tn t VErtex EmmVErtEx aan this me are in ngraph Pustmm l i fmmZVEJTtEL WHERE i5 in Eigmph with 12h Epfti E weight EdQEM lUETE E WEJQHEIEWMI EEETHPE f rmvert x UEF II39EITyfpi j lt iurert x Fum ru EtE I Jj EE HIE weight snaf39 the gig Emm Emm VErtex tn ttv rtex Emm VErtex and 1me are in ngpah Pustmmii s Fll ii yamE WEight If Emm Emm VErtEx I IisuaVEriiEx if Edge If E g d ht EKiEL msztinn val pEEi l quotm l Edg vahu Et TVEaFtiEEEWE IEKTSWE var lz39ex ueTypeEa werltex j Fum rm Rama 3 LIELlE if ue HEHIiEEE that are adja EEII II fmm vertex i5 in VEraph Pmtmmii u tuning the 1131111555 hf 31h vErtiEEE that ME dj t mm Hermit Connected amp Unconnected Graph Connected Graph 39 A connected graph has a path from every vertex to every other vertex 39 To recognize this kind of map notice that all nodes need to have both in and out ow 8 12 has no out then this is an unconnected graph Biconnected amp Non biconnected Graph 39 A connected undirected graph Where no vertices Whose removal disconnects the rest of graph I Applications Network mail mass transit system This is bi connected graph Hunhi E inmateE 1 Ed Tree When remove C graph become disconnected Articulation Point 39 Root is articulation if it has more than 1 child 39 Other node V is articulation if its one of the child W has 10WWgtseqv Example 1 v hf if f lf h DEE Swimming TIEE 11 1 E tnnn tte Tree Figf u a If quot0 III quothe I III 39iu 339 11 Hi 39Ia If I I ll f r 39i i39 I i I 39 I J 39 I I i l gt u u 1 i 3 11 I5 11 l V Eeq EEEIIMJEWEE I i by taking Ell m mm Edgaa amid iihiamm E it y me back edge Example 2 In h FiIEt E lr h DEE Swimming TEEE 1 1 thrhd unn te Tie Example 3 DEmth Fir t Eearch DEE Swimming TIEE V 111 W 1quot thrhi nnn te Ike

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