SlideShare uma empresa Scribd logo
1 de 1
Baixar para ler offline
Consider the following social-affiliation network of a small neighbourhood community in
Toronto, consisting of some people DJ and two clubs C1 and C2. A new person K has recently
moved to the neighbourhood. We assume K can make an effort to initially get connected (i.e. in
week 0) to only one of DJ, C1, or C2. Consider triadic, membership and focal closures happen
over a one-week period with the probabilities of pt , pm, and pf respectively. We further assume
that these closures only happen if K is involved in them as the rest of the network is stable (i.e.,
no further closures will ever happen when restricted to just DJ,C1,C2).
a. Ignoring the probabilitites, K would just like to have the opportunity of connecting to every
person DJ as soon as possible (i.e. in the fewest number of weeks) by either making friends with
one person or joining one club.
(i) To which person should K initially become friends (in week 0)? Specify an appropriate
sequence of closures that makes such friendships possible and briefly explain (using properites
of the network) why there is no better person with whom K should become a friend.
(ii) To which club should K initially join? Specify an appropriate sequence of closures that
makes such friendships possible and briefly explain (using properites of the network) why there
is no better club for K to join.
b Is it possible that no matter to which person K initially becomes friends or to which club K
initially joins, that there is some way to become friends with everyone? Briefly explain.
c Specify a mathematical formula based on pt , pm, and pf which captures the probability of K
being connected to every person after two weeks (i.e. at the end of week 2) if it is initially
connected to C1.
d Specify a mathematical formula based on pt , pm, and pf which captures the probability of K
being connected to every other person after two weeks if it is initially connected to G.
e Suppose K has only two possible choices of G and C1 for making an initial connection. Also,
K has the goal of connecting to all other people in two weeks. Under which condition does
connecting to C1 have a higher chance of success than iconnecting to G in order for K to meet
his/her goal? [Hint: You should find a relationship between pt , pm, and pf ]. (D)

Mais conteúdo relacionado

Mais de americancolor

Consider the following scenarioIn the last few weeks, residents h.pdf
Consider the following scenarioIn the last few weeks, residents h.pdfConsider the following scenarioIn the last few weeks, residents h.pdf
Consider the following scenarioIn the last few weeks, residents h.pdf
americancolor
 
convert this python code to java script. Make sure it works on Eclip.pdf
convert this python code to java script. Make sure it works on Eclip.pdfconvert this python code to java script. Make sure it works on Eclip.pdf
convert this python code to java script. Make sure it works on Eclip.pdf
americancolor
 
Control en Netflix Los gerentes no solo controlan los procesos d.pdf
Control en Netflix Los gerentes no solo controlan los procesos d.pdfControl en Netflix Los gerentes no solo controlan los procesos d.pdf
Control en Netflix Los gerentes no solo controlan los procesos d.pdf
americancolor
 
CONTRATO DE ARRENDAMIENTO COMERCIAL Este Contrato de Arrendamiento C.pdf
CONTRATO DE ARRENDAMIENTO COMERCIAL Este Contrato de Arrendamiento C.pdfCONTRATO DE ARRENDAMIENTO COMERCIAL Este Contrato de Arrendamiento C.pdf
CONTRATO DE ARRENDAMIENTO COMERCIAL Este Contrato de Arrendamiento C.pdf
americancolor
 
Contesta las preguntas del siguiente p�rrafo �Deber�a respons.pdf
Contesta las preguntas del siguiente p�rrafo �Deber�a respons.pdfContesta las preguntas del siguiente p�rrafo �Deber�a respons.pdf
Contesta las preguntas del siguiente p�rrafo �Deber�a respons.pdf
americancolor
 
Continental Airlines vuela alto con su almac�n de datos en tiempo re.pdf
Continental Airlines vuela alto con su almac�n de datos en tiempo re.pdfContinental Airlines vuela alto con su almac�n de datos en tiempo re.pdf
Continental Airlines vuela alto con su almac�n de datos en tiempo re.pdf
americancolor
 

Mais de americancolor (20)

Consider the following scenarioIn the last few weeks, residents h.pdf
Consider the following scenarioIn the last few weeks, residents h.pdfConsider the following scenarioIn the last few weeks, residents h.pdf
Consider the following scenarioIn the last few weeks, residents h.pdf
 
Consider the following wage regression in which you have data on gen.pdf
Consider the following wage regression in which you have data on gen.pdfConsider the following wage regression in which you have data on gen.pdf
Consider the following wage regression in which you have data on gen.pdf
 
core issue in frank by ocbc singapore case studyIn 2010, Jin Kang .pdf
core issue in frank by ocbc singapore case studyIn 2010, Jin Kang .pdfcore issue in frank by ocbc singapore case studyIn 2010, Jin Kang .pdf
core issue in frank by ocbc singapore case studyIn 2010, Jin Kang .pdf
 
Coronado Corporation tuvo una utilidad neta de $240 000 y pag� divid.pdf
Coronado Corporation tuvo una utilidad neta de $240 000 y pag� divid.pdfCoronado Corporation tuvo una utilidad neta de $240 000 y pag� divid.pdf
Coronado Corporation tuvo una utilidad neta de $240 000 y pag� divid.pdf
 
convert this python code to java script. Make sure it works on Eclip.pdf
convert this python code to java script. Make sure it works on Eclip.pdfconvert this python code to java script. Make sure it works on Eclip.pdf
convert this python code to java script. Make sure it works on Eclip.pdf
 
Convert M9 to a regular expression. Consider the following generalis.pdf
Convert M9 to a regular expression. Consider the following generalis.pdfConvert M9 to a regular expression. Consider the following generalis.pdf
Convert M9 to a regular expression. Consider the following generalis.pdf
 
Control en Netflix Los gerentes no solo controlan los procesos d.pdf
Control en Netflix Los gerentes no solo controlan los procesos d.pdfControl en Netflix Los gerentes no solo controlan los procesos d.pdf
Control en Netflix Los gerentes no solo controlan los procesos d.pdf
 
CONTRATO DE ARRENDAMIENTO COMERCIAL Este Contrato de Arrendamiento C.pdf
CONTRATO DE ARRENDAMIENTO COMERCIAL Este Contrato de Arrendamiento C.pdfCONTRATO DE ARRENDAMIENTO COMERCIAL Este Contrato de Arrendamiento C.pdf
CONTRATO DE ARRENDAMIENTO COMERCIAL Este Contrato de Arrendamiento C.pdf
 
Contrast the oral and poster method of presenting research at a conf.pdf
Contrast the oral and poster method of presenting research at a conf.pdfContrast the oral and poster method of presenting research at a conf.pdf
Contrast the oral and poster method of presenting research at a conf.pdf
 
Contribution Margin Molly Company sells 40,000 units at $14 per unit.pdf
Contribution Margin Molly Company sells 40,000 units at $14 per unit.pdfContribution Margin Molly Company sells 40,000 units at $14 per unit.pdf
Contribution Margin Molly Company sells 40,000 units at $14 per unit.pdf
 
ContextualizeWhat are YOUR learning goals What are the course .pdf
ContextualizeWhat are YOUR learning goals What are the course .pdfContextualizeWhat are YOUR learning goals What are the course .pdf
ContextualizeWhat are YOUR learning goals What are the course .pdf
 
Contesta las preguntas del siguiente p�rrafo �Deber�a respons.pdf
Contesta las preguntas del siguiente p�rrafo �Deber�a respons.pdfContesta las preguntas del siguiente p�rrafo �Deber�a respons.pdf
Contesta las preguntas del siguiente p�rrafo �Deber�a respons.pdf
 
CONTABILIDAD GERENCIAL - DECLARACIONES VERDADERAS O FALSAS.(SALTE .pdf
CONTABILIDAD GERENCIAL - DECLARACIONES VERDADERAS O FALSAS.(SALTE .pdfCONTABILIDAD GERENCIAL - DECLARACIONES VERDADERAS O FALSAS.(SALTE .pdf
CONTABILIDAD GERENCIAL - DECLARACIONES VERDADERAS O FALSAS.(SALTE .pdf
 
Continental Airlines vuela alto con su almac�n de datos en tiempo re.pdf
Continental Airlines vuela alto con su almac�n de datos en tiempo re.pdfContinental Airlines vuela alto con su almac�n de datos en tiempo re.pdf
Continental Airlines vuela alto con su almac�n de datos en tiempo re.pdf
 
Consider this scenario. Miguel is an experienced forensic evidence a.pdf
Consider this scenario. Miguel is an experienced forensic evidence a.pdfConsider this scenario. Miguel is an experienced forensic evidence a.pdf
Consider this scenario. Miguel is an experienced forensic evidence a.pdf
 
Considere una econom�a donde la industria dominante es la producci�n.pdf
Considere una econom�a donde la industria dominante es la producci�n.pdfConsidere una econom�a donde la industria dominante es la producci�n.pdf
Considere una econom�a donde la industria dominante es la producci�n.pdf
 
Considere una econom�a descrita por las siguientes ecuacionesY .pdf
Considere una econom�a descrita por las siguientes ecuacionesY .pdfConsidere una econom�a descrita por las siguientes ecuacionesY .pdf
Considere una econom�a descrita por las siguientes ecuacionesY .pdf
 
Considere un pa�s con un producto interno bruto (PIB) nominal de $ 1.pdf
Considere un pa�s con un producto interno bruto (PIB) nominal de $ 1.pdfConsidere un pa�s con un producto interno bruto (PIB) nominal de $ 1.pdf
Considere un pa�s con un producto interno bruto (PIB) nominal de $ 1.pdf
 
Considere todo lo que ha aprendido en este curso sobre problemas soc.pdf
Considere todo lo que ha aprendido en este curso sobre problemas soc.pdfConsidere todo lo que ha aprendido en este curso sobre problemas soc.pdf
Considere todo lo que ha aprendido en este curso sobre problemas soc.pdf
 
Considere los virus en soluci�n como una suspensi�n. �C�mo esperar�a.pdf
Considere los virus en soluci�n como una suspensi�n. �C�mo esperar�a.pdfConsidere los virus en soluci�n como una suspensi�n. �C�mo esperar�a.pdf
Considere los virus en soluci�n como una suspensi�n. �C�mo esperar�a.pdf
 

Último

Spellings Wk 3 English CAPS CARES Please Practise
Spellings Wk 3 English CAPS CARES Please PractiseSpellings Wk 3 English CAPS CARES Please Practise
Spellings Wk 3 English CAPS CARES Please Practise
AnaAcapella
 
The basics of sentences session 3pptx.pptx
The basics of sentences session 3pptx.pptxThe basics of sentences session 3pptx.pptx
The basics of sentences session 3pptx.pptx
heathfieldcps1
 
Salient Features of India constitution especially power and functions
Salient Features of India constitution especially power and functionsSalient Features of India constitution especially power and functions
Salient Features of India constitution especially power and functions
KarakKing
 

Último (20)

Jamworks pilot and AI at Jisc (20/03/2024)
Jamworks pilot and AI at Jisc (20/03/2024)Jamworks pilot and AI at Jisc (20/03/2024)
Jamworks pilot and AI at Jisc (20/03/2024)
 
HMCS Vancouver Pre-Deployment Brief - May 2024 (Web Version).pptx
HMCS Vancouver Pre-Deployment Brief - May 2024 (Web Version).pptxHMCS Vancouver Pre-Deployment Brief - May 2024 (Web Version).pptx
HMCS Vancouver Pre-Deployment Brief - May 2024 (Web Version).pptx
 
Graduate Outcomes Presentation Slides - English
Graduate Outcomes Presentation Slides - EnglishGraduate Outcomes Presentation Slides - English
Graduate Outcomes Presentation Slides - English
 
Spellings Wk 3 English CAPS CARES Please Practise
Spellings Wk 3 English CAPS CARES Please PractiseSpellings Wk 3 English CAPS CARES Please Practise
Spellings Wk 3 English CAPS CARES Please Practise
 
Wellbeing inclusion and digital dystopias.pptx
Wellbeing inclusion and digital dystopias.pptxWellbeing inclusion and digital dystopias.pptx
Wellbeing inclusion and digital dystopias.pptx
 
How to Create and Manage Wizard in Odoo 17
How to Create and Manage Wizard in Odoo 17How to Create and Manage Wizard in Odoo 17
How to Create and Manage Wizard in Odoo 17
 
HMCS Max Bernays Pre-Deployment Brief (May 2024).pptx
HMCS Max Bernays Pre-Deployment Brief (May 2024).pptxHMCS Max Bernays Pre-Deployment Brief (May 2024).pptx
HMCS Max Bernays Pre-Deployment Brief (May 2024).pptx
 
Interdisciplinary_Insights_Data_Collection_Methods.pptx
Interdisciplinary_Insights_Data_Collection_Methods.pptxInterdisciplinary_Insights_Data_Collection_Methods.pptx
Interdisciplinary_Insights_Data_Collection_Methods.pptx
 
General Principles of Intellectual Property: Concepts of Intellectual Proper...
General Principles of Intellectual Property: Concepts of Intellectual  Proper...General Principles of Intellectual Property: Concepts of Intellectual  Proper...
General Principles of Intellectual Property: Concepts of Intellectual Proper...
 
Understanding Accommodations and Modifications
Understanding  Accommodations and ModificationsUnderstanding  Accommodations and Modifications
Understanding Accommodations and Modifications
 
Micro-Scholarship, What it is, How can it help me.pdf
Micro-Scholarship, What it is, How can it help me.pdfMicro-Scholarship, What it is, How can it help me.pdf
Micro-Scholarship, What it is, How can it help me.pdf
 
Spatium Project Simulation student brief
Spatium Project Simulation student briefSpatium Project Simulation student brief
Spatium Project Simulation student brief
 
REMIFENTANIL: An Ultra short acting opioid.pptx
REMIFENTANIL: An Ultra short acting opioid.pptxREMIFENTANIL: An Ultra short acting opioid.pptx
REMIFENTANIL: An Ultra short acting opioid.pptx
 
Kodo Millet PPT made by Ghanshyam bairwa college of Agriculture kumher bhara...
Kodo Millet  PPT made by Ghanshyam bairwa college of Agriculture kumher bhara...Kodo Millet  PPT made by Ghanshyam bairwa college of Agriculture kumher bhara...
Kodo Millet PPT made by Ghanshyam bairwa college of Agriculture kumher bhara...
 
Unit-V; Pricing (Pharma Marketing Management).pptx
Unit-V; Pricing (Pharma Marketing Management).pptxUnit-V; Pricing (Pharma Marketing Management).pptx
Unit-V; Pricing (Pharma Marketing Management).pptx
 
The basics of sentences session 3pptx.pptx
The basics of sentences session 3pptx.pptxThe basics of sentences session 3pptx.pptx
The basics of sentences session 3pptx.pptx
 
Accessible Digital Futures project (20/03/2024)
Accessible Digital Futures project (20/03/2024)Accessible Digital Futures project (20/03/2024)
Accessible Digital Futures project (20/03/2024)
 
Food safety_Challenges food safety laboratories_.pdf
Food safety_Challenges food safety laboratories_.pdfFood safety_Challenges food safety laboratories_.pdf
Food safety_Challenges food safety laboratories_.pdf
 
Holdier Curriculum Vitae (April 2024).pdf
Holdier Curriculum Vitae (April 2024).pdfHoldier Curriculum Vitae (April 2024).pdf
Holdier Curriculum Vitae (April 2024).pdf
 
Salient Features of India constitution especially power and functions
Salient Features of India constitution especially power and functionsSalient Features of India constitution especially power and functions
Salient Features of India constitution especially power and functions
 

Consider the following social-affiliation network of a small neighbo.pdf

  • 1. Consider the following social-affiliation network of a small neighbourhood community in Toronto, consisting of some people DJ and two clubs C1 and C2. A new person K has recently moved to the neighbourhood. We assume K can make an effort to initially get connected (i.e. in week 0) to only one of DJ, C1, or C2. Consider triadic, membership and focal closures happen over a one-week period with the probabilities of pt , pm, and pf respectively. We further assume that these closures only happen if K is involved in them as the rest of the network is stable (i.e., no further closures will ever happen when restricted to just DJ,C1,C2). a. Ignoring the probabilitites, K would just like to have the opportunity of connecting to every person DJ as soon as possible (i.e. in the fewest number of weeks) by either making friends with one person or joining one club. (i) To which person should K initially become friends (in week 0)? Specify an appropriate sequence of closures that makes such friendships possible and briefly explain (using properites of the network) why there is no better person with whom K should become a friend. (ii) To which club should K initially join? Specify an appropriate sequence of closures that makes such friendships possible and briefly explain (using properites of the network) why there is no better club for K to join. b Is it possible that no matter to which person K initially becomes friends or to which club K initially joins, that there is some way to become friends with everyone? Briefly explain. c Specify a mathematical formula based on pt , pm, and pf which captures the probability of K being connected to every person after two weeks (i.e. at the end of week 2) if it is initially connected to C1. d Specify a mathematical formula based on pt , pm, and pf which captures the probability of K being connected to every other person after two weeks if it is initially connected to G. e Suppose K has only two possible choices of G and C1 for making an initial connection. Also, K has the goal of connecting to all other people in two weeks. Under which condition does connecting to C1 have a higher chance of success than iconnecting to G in order for K to meet his/her goal? [Hint: You should find a relationship between pt , pm, and pf ]. (D)