Networks and Matrices


	Networks and Matrices
coburgmaths
10-5-2009 5:48 PM
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coburgmaths says:
Some other resources on Networks and Matrices.
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<div style="margin: 12px 0px; font-family: arial; color: #333333; background: #ffffff; border: solid 4px #e5e5e5; width: 100%; clear: left;"><div class="CM_CTB_Content_Wrap" style="margin: 0px; padding: 0px;background-color: #ffffff;"><div style="border-bottom: solid 1px #dcdcdc; white-space: nowrap; margin-bottom: 8px; background-color: #eeeeee ;background-image: url(http://www.clipmarks.com/images/source-bg.gif); background-repeat: repeat-x; height: 24px; line-height: 24px; vertical-align: middle; padding-bottom: 4px; color: #666666; font-size: 10px;" ><a href="http://clipmarks.com/clip-to-blog/" title="see clips that are hot right now"><img src="http://content.clipmarks.com/blog_embed/c8dca286-0cda-4b33-bbcc-bcbcd0af7a45/61781FBB-5087-40D4-889B-30A434CB0956/" alt="" width="19" height="19" border="0" style="vertical-align: middle; margin: 0px 4px; display: inline; border: none; float:none;" /></a>clipped from <a title="http://www.analytictech.com/mb119/matrices.htm" href="http://www.analytictech.com/mb119/matrices.htm" style="font-size: 11px;">www.analytictech.com</a></div><blockquote style="text-align: left; padding: 0px 8px; margin: 4px 0px 8px 0px; background: transparent; border: none;" cite="http://www.analytictech.com/mb119/matrices.htm"><H1>Networks and Matrices</H1></blockquote><div style="height: 2px; font-size: 2px; background: #dcdcdc; border-bottom: solid 1px #f5f5f5; margin: 2px 4px;"></div><blockquote style="text-align: left; padding: 0px 8px; margin: 4px 0px 8px 0px; background: transparent; border: none;" cite="http://www.analytictech.com/mb119/matrices.htm"><FONT size="3">Networks can be represented as graphs or
matrices. For example, here is a graph:</FONT></blockquote><div style="height: 2px; font-size: 2px; background: #dcdcdc; border-bottom: solid 1px #f5f5f5; margin: 2px 4px;"></div><blockquote style="text-align: left; padding: 0px 8px; margin: 4px 0px 8px 0px; background: transparent; border: none;" cite="http://www.analytictech.com/mb119/matrices.htm"><div align="center"><img src="http://content8.clipmarks.com/blog_cache/www.analytictech.com/img/A5889BE6-C572-4FA1-A083-4BEDA2EEB3E2" alt="" /></div></blockquote><div style="height: 2px; font-size: 2px; background: #dcdcdc; border-bottom: solid 1px #f5f5f5; margin: 2px 4px;"></div><blockquote style="text-align: left; padding: 0px 8px; margin: 4px 0px 8px 0px; background: transparent; border: none;" cite="http://www.analytictech.com/mb119/matrices.htm"><FONT size="3">We can also record who is connected to whom on
a given social relation via what is called an adjacency matrix.
The adjacency matrix is a square actor-by-actor matrix like this:</FONT></blockquote><div style="height: 2px; font-size: 2px; background: #dcdcdc; border-bottom: solid 1px #f5f5f5; margin: 2px 4px;"></div><blockquote style="text-align: left; padding: 0px 8px; margin: 4px 0px 8px 0px; background: transparent; border: none;" cite="http://www.analytictech.com/mb119/matrices.htm"><CENTER>
<TABLE width="350" cellspacing="0" cellpadding="0" border="1"><TBODY><TR><TD width="12%" align="center"><FONT size="4"></FONT> </TD><TD width="12%" align="center"><FONT size="3">And</FONT></TD><TD width="12%" align="center"><FONT size="3">Bil</FONT></TD><TD width="12%" align="center"><FONT size="3">Car</FONT></TD><TD width="12%" align="center"><FONT size="3">Dan</FONT></TD><TD width="12%" align="center"><FONT size="3">Ele</FONT></TD><TD width="12%" align="center"><FONT size="3">Fra</FONT></TD><TD width="12%" align="center"><FONT size="3">Gar</FONT></TD></TR><TR><TD width="12%" align="center"><FONT size="3">Andy</FONT></TD><TD width="12%" align="center"><FONT size="4"></FONT> </TD><TD width="12%" align="center"><FONT size="3">1</FONT></TD><TD width="12%" align="center"><FONT size="3">0</FONT></TD><TD width="12%" align="center"><FONT size="3">1</FONT></TD><TD width="12%" align="center"><FONT size="3">0</FONT></TD><TD width="12%" align="center"><FONT size="3">0</FONT></TD><TD width="12%" align="center"><FONT size="3">1</FONT></TD></TR><TR><TD width="12%" align="center"><FONT size="3">Bill</FONT></TD><TD width="12%" align="center"><FONT size="3">1</FONT></TD><TD width="12%" align="center"><FONT size="4"></FONT> </TD><TD width="12%" align="center"><FONT size="3">1</FONT></TD><TD width="12%" align="center"><FONT size="3">0</FONT></TD><TD width="12%" align="center"><FONT size="3">1</FONT></TD><TD width="12%" align="center"><FONT size="3">0</FONT></TD><TD width="12%" align="center"><FONT size="3">0</FONT></TD></TR><TR><TD width="12%" align="center"><FONT size="3">Carol</FONT></TD><TD width="12%" align="center"><FONT size="3">1</FONT></TD><TD width="12%" align="center"><FONT size="3">1</FONT></TD><TD width="12%" align="center"><FONT size="4"></FONT> </TD><TD width="12%" align="center"><FONT size="3">1</FONT></TD><TD width="12%" align="center"><FONT size="3">1</FONT></TD><TD width="12%" align="center"><FONT size="3">0</FONT></TD><TD width="12%" align="center"><FONT size="3">0</FONT></TD></TR><TR><TD width="12%" align="center"><FONT size="3">Dan</FONT></TD><TD width="12%" align="center"><FONT size="3">1</FONT></TD><TD width="12%" align="center"><FONT size="3">1</FONT></TD><TD width="12%" align="center"><FONT size="3">1</FONT></TD><TD width="12%" align="center"><FONT size="4"></FONT> </TD><TD width="12%" align="center"><FONT size="3">0</FONT></TD><TD width="12%" align="center"><FONT size="3">0</FONT></TD><TD width="12%" align="center"><FONT size="3">0</FONT></TD></TR><TR><TD width="12%" align="center"><FONT size="3">Elena</FONT></TD><TD width="12%" align="center"><FONT size="3">0</FONT></TD><TD width="12%" align="center"><FONT size="3">0</FONT></TD><TD width="12%" align="center"><FONT size="3">0</FONT></TD><TD width="12%" align="center"><FONT size="3">0</FONT></TD><TD width="12%" align="center"><FONT size="4"></FONT> </TD><TD width="12%" align="center"><FONT size="3">1</FONT></TD><TD width="12%" align="center"><FONT size="3">0</FONT></TD></TR><TR><TD width="12%" align="center"><FONT size="3">Frank</FONT></TD><TD width="12%" align="center"><FONT size="3">0</FONT></TD><TD width="12%" align="center"><FONT size="3">0</FONT></TD><TD width="12%" align="center"><FONT size="3">0</FONT></TD><TD width="12%" align="center"><FONT size="3">0</FONT></TD><TD width="12%" align="center"><FONT size="3">1</FONT></TD><TD width="12%" align="center"><FONT size="4"></FONT> </TD><TD width="12%" align="center"><FONT size="3">0</FONT></TD></TR><TR><TD width="12%" align="center"><FONT size="3">Garth</FONT></TD><TD width="12%" align="center"><FONT size="3">1</FONT></TD><TD width="12%" align="center"><FONT size="3">1</FONT></TD><TD width="12%" align="center"><FONT size="3">0</FONT></TD><TD width="12%" align="center"><FONT size="3">0</FONT></TD><TD width="12%" align="center"><FONT size="3">0</FONT></TD><TD width="12%" align="center"><FONT size="3">0</FONT></TD><TD width="12%" align="center"><FONT size="4"></FONT> </TD></TR></TBODY></TABLE></CENTER></blockquote><div style="border-bottom: solid 1px #dcdcdc; white-space: nowrap; margin-bottom: 8px; background-color: #eeeeee ;background-image: url(http://www.clipmarks.com/images/source-bg.gif); background-repeat: repeat-x; height: 24px; line-height: 24px; vertical-align: middle; padding-bottom: 4px; color: #666666; font-size: 10px;" ><a href="http://clipmarks.com/clip-to-blog/" title="see clips that are hot right now"><img src="http://content9.clipmarks.com/images/clip-icon.gif" alt="" width="19" height="19" border="0" style="vertical-align: middle; margin: 0px 4px; display: inline; border: none; float:none;" /></a>clipped from <a title="http://faculty.ucr.edu/~hanneman/nettext/C5_%20Matrices.html" href="http://faculty.ucr.edu/~hanneman/nettext/C5_%20Matrices.html" style="font-size: 11px;">faculty.ucr.edu</a></div><blockquote style="text-align: left; padding: 0px 8px; margin: 4px 0px 8px 0px; background: transparent; border: none;" cite="http://faculty.ucr.edu/~hanneman/nettext/C5_%20Matrices.html"><FONT size="4">The "adjacency" matrix</FONT></blockquote><div style="height: 2px; font-size: 2px; background: #dcdcdc; border-bottom: solid 1px #f5f5f5; margin: 2px 4px;"></div><blockquote style="text-align: left; padding: 0px 8px; margin: 4px 0px 8px 0px; background: transparent; border: none;" cite="http://faculty.ucr.edu/~hanneman/nettext/C5_%20Matrices.html"><P>The most common form of matrix in social network analysis is a very simple
square matrix with as many rows and
columns as there are actors in our data set.  The "elements" or
scores in the cells of the matrix record information about the ties between each
pair of actors.</P></blockquote><div style="height: 2px; font-size: 2px; background: #dcdcdc; border-bottom: solid 1px #f5f5f5; margin: 2px 4px;"></div><blockquote style="text-align: left; padding: 0px 8px; margin: 4px 0px 8px 0px; background: transparent; border: none;" cite="http://faculty.ucr.edu/~hanneman/nettext/C5_%20Matrices.html"><div align="center"><img src="http://content6.clipmarks.com/blog_cache/faculty.ucr.edu/img/C4072F5C-B882-45F9-8B25-CF69C4A6E78B" alt="" /></div></blockquote><div style="height: 2px; font-size: 2px; background: #dcdcdc; border-bottom: solid 1px #f5f5f5; margin: 2px 4px;"></div><blockquote style="text-align: left; padding: 0px 8px; margin: 4px 0px 8px 0px; background: transparent; border: none;" cite="http://faculty.ucr.edu/~hanneman/nettext/C5_%20Matrices.html"><TABLE width="35%" border="1"><TBODY><TR><TD width="20%"> </TD><TD width="20%" bgcolor="#00ffff">Bob</TD><TD width="20%" bgcolor="#00ffff">Carol</TD><TD width="20%" bgcolor="#00ffff">Ted</TD><TD width="20%" bgcolor="#00ffff">Alice</TD></TR><TR><TD width="20%" bgcolor="#00ffff">Bob</TD><TD width="20%"><P align="CENTER">---
		</P></TD><TD width="20%"><P align="CENTER">1
		</P></TD><TD width="20%"><P align="CENTER">1
		</P></TD><TD width="20%"><P align="CENTER">0
		</P></TD></TR><TR><TD width="20%" bgcolor="#00ffff">Carol</TD><TD width="20%"><P align="CENTER">0
		</P></TD><TD width="20%"><P align="CENTER">---
		</P></TD><TD width="20%"><P align="CENTER">1
		</P></TD><TD width="20%"><P align="CENTER">0
		</P></TD></TR><TR><TD width="20%" bgcolor="#00ffff">Ted</TD><TD width="20%"><P align="CENTER">1
		</P></TD><TD width="20%"><P align="CENTER">1
		</P></TD><TD width="20%"><P align="CENTER">---
		</P></TD><TD width="20%"><P align="CENTER">1
		</P></TD></TR><TR><TD width="20%" bgcolor="#00ffff">Alice</TD><TD width="20%"><P align="CENTER">0
		</P></TD><TD width="20%"><P align="CENTER">0
		</P></TD><TD width="20%"><P align="CENTER">1
		</P></TD><TD width="20%"><P align="CENTER">---
		</P></TD></TR></TBODY></TABLE></blockquote></div><div style="margin: 0px 6px 6px 4px;"><table style="font-size: 11px;border-spacing: 0px;padding: 0px;" cellpadding="0" cellspacing="0" width="100%"><tr><td style="background:transparent;border-width:0px;padding:0px;">&nbsp;</td><td align="right" style="background:transparent;border-width:0px;padding:0px;width:107px" width="107"><a href="http://clipmarks.com/share/61781FBB-5087-40D4-889B-30A434CB0956/blog/" title="blog or email this clip"><img src="http://content7.clipmarks.com/images/c2b-foot.png" border="0" alt="blog it" width="107" height="17" style="border-width:0px;padding:0px;margin:0px;" /></a></td></tr></table></div></div>
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