Correction to "Vertex Entropy as a Critical Node Measure in Network Monitoring"
From Definition 2 in the above-named work, we have for a simple graph G=(V,E) , the following expression for the chromatic entropy I_{C}(G) of a graph: \begin{equation*} I_{C}\left ({G}\right) = \min _{\left \{{C_{i}}\right \}} - \sum _{i=1}^{N_{c}} \frac {|C_{i}|}{n} \log _{2} \frac {|C_{i}|}{n}...
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Veröffentlicht in: | IEEE eTransactions on network and service management 2017-12, Vol.14 (4), p.1185-1185 |
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creator | Tee, Philip Parisis, George Wakeman, Ian |
description | From Definition 2 in the above-named work, we have for a simple graph G=(V,E) , the following expression for the chromatic entropy I_{C}(G) of a graph: \begin{equation*} I_{C}\left ({G}\right) = \min _{\left \{{C_{i}}\right \}} - \sum _{i=1}^{N_{c}} \frac {|C_{i}|}{n} \log _{2} \frac {|C_{i}|}{n} \tag{1}\end{equation*} |
doi_str_mv | 10.1109/TNSM.2017.2774978 |
format | Article |
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Parisis, George ; Wakeman, Ian</creator><creatorcontrib>Tee, Philip ; Parisis, George ; Wakeman, Ian</creatorcontrib><description><![CDATA[From Definition 2 in the above-named work, we have for a simple graph <inline-formula> <tex-math notation="LaTeX">G=(V,E) </tex-math></inline-formula>, the following expression for the chromatic entropy <inline-formula> <tex-math notation="LaTeX">I_{C}(G) </tex-math></inline-formula> of a graph:<disp-formula id="deqn1a"> <tex-math notation="LaTeX">\begin{equation*} I_{C}\left ({G}\right) = \min _{\left \{{C_{i}}\right \}} - \sum _{i=1}^{N_{c}} \frac {|C_{i}|}{n} \log _{2} \frac {|C_{i}|}{n} \tag{1}\end{equation*} </tex-math></disp-formula>]]></description><identifier>ISSN: 1932-4537</identifier><identifier>EISSN: 1932-4537</identifier><identifier>DOI: 10.1109/TNSM.2017.2774978</identifier><identifier>CODEN: ITNSC4</identifier><language>eng</language><publisher>IEEE</publisher><subject>Artificial neural networks ; Boundary conditions ; Entropy ; Informatics ; Monitoring</subject><ispartof>IEEE eTransactions on network and service management, 2017-12, Vol.14 (4), p.1185-1185</ispartof><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><cites>FETCH-LOGICAL-c622-f32db25ea846a4d41a20a43c41cba51d732c5682734357634703197c5a80984b3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://ieeexplore.ieee.org/document/8171282$$EHTML$$P50$$Gieee$$H</linktohtml><link.rule.ids>315,782,786,798,27931,27932,54765</link.rule.ids><linktorsrc>$$Uhttps://ieeexplore.ieee.org/document/8171282$$EView_record_in_IEEE$$FView_record_in_$$GIEEE</linktorsrc></links><search><creatorcontrib>Tee, Philip</creatorcontrib><creatorcontrib>Parisis, George</creatorcontrib><creatorcontrib>Wakeman, Ian</creatorcontrib><title>Correction to "Vertex Entropy as a Critical Node Measure in Network Monitoring"</title><title>IEEE eTransactions on network and service management</title><addtitle>T-NSM</addtitle><description><![CDATA[From Definition 2 in the above-named work, we have for a simple graph <inline-formula> <tex-math notation="LaTeX">G=(V,E) </tex-math></inline-formula>, the following expression for the chromatic entropy <inline-formula> <tex-math notation="LaTeX">I_{C}(G) </tex-math></inline-formula> of a graph:<disp-formula id="deqn1a"> <tex-math notation="LaTeX">\begin{equation*} I_{C}\left ({G}\right) = \min _{\left \{{C_{i}}\right \}} - \sum _{i=1}^{N_{c}} \frac {|C_{i}|}{n} \log _{2} \frac {|C_{i}|}{n} \tag{1}\end{equation*} </tex-math></disp-formula>]]></description><subject>Artificial neural networks</subject><subject>Boundary conditions</subject><subject>Entropy</subject><subject>Informatics</subject><subject>Monitoring</subject><issn>1932-4537</issn><issn>1932-4537</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2017</creationdate><recordtype>article</recordtype><sourceid>RIE</sourceid><recordid>eNpNkM1KAzEYRYMoWKsPIG5C91PzfUkmmaUM9Qf6s3BwO2QyqUTrpCQR7dtraRFX9y7uuYtDyDWwKQCrbpvl82KKDNQUlRKV0idkBBXHQkiuTv_1c3KR0htjUkOFI7KqQ4zOZh8GmgOdvLiY3TedDTmG7Y6aRA2to8_emg1dht7RhTPpMzrqB7p0-SvEd7oIg88h-uF1cknO1maT3NUxx6S5nzX1YzFfPTzVd_PClojFmmPfoXRGi9KIXoBBZgS3AmxnJPSKo5WlRsUFl6rkQjEOlbLSaFZp0fExgcOtjSGl6NbtNvoPE3ctsHYvpN0LafdC2qOQX-bmwHjn3N9egwLUyH8ARhpbKQ</recordid><startdate>201712</startdate><enddate>201712</enddate><creator>Tee, Philip</creator><creator>Parisis, George</creator><creator>Wakeman, Ian</creator><general>IEEE</general><scope>97E</scope><scope>RIA</scope><scope>RIE</scope><scope>AAYXX</scope><scope>CITATION</scope></search><sort><creationdate>201712</creationdate><title>Correction to "Vertex Entropy as a Critical Node Measure in Network Monitoring"</title><author>Tee, Philip ; Parisis, George ; Wakeman, Ian</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c622-f32db25ea846a4d41a20a43c41cba51d732c5682734357634703197c5a80984b3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2017</creationdate><topic>Artificial neural networks</topic><topic>Boundary conditions</topic><topic>Entropy</topic><topic>Informatics</topic><topic>Monitoring</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Tee, Philip</creatorcontrib><creatorcontrib>Parisis, George</creatorcontrib><creatorcontrib>Wakeman, Ian</creatorcontrib><collection>IEEE All-Society Periodicals Package (ASPP) 2005-present</collection><collection>IEEE All-Society Periodicals Package (ASPP) 1998-Present</collection><collection>IEEE Electronic Library (IEL)</collection><collection>CrossRef</collection><jtitle>IEEE eTransactions on network and service management</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Tee, Philip</au><au>Parisis, George</au><au>Wakeman, Ian</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Correction to "Vertex Entropy as a Critical Node Measure in Network Monitoring"</atitle><jtitle>IEEE eTransactions on network and service management</jtitle><stitle>T-NSM</stitle><date>2017-12</date><risdate>2017</risdate><volume>14</volume><issue>4</issue><spage>1185</spage><epage>1185</epage><pages>1185-1185</pages><issn>1932-4537</issn><eissn>1932-4537</eissn><coden>ITNSC4</coden><abstract><![CDATA[From Definition 2 in the above-named work, we have for a simple graph <inline-formula> <tex-math notation="LaTeX">G=(V,E) </tex-math></inline-formula>, the following expression for the chromatic entropy <inline-formula> <tex-math notation="LaTeX">I_{C}(G) </tex-math></inline-formula> of a graph:<disp-formula id="deqn1a"> <tex-math notation="LaTeX">\begin{equation*} I_{C}\left ({G}\right) = \min _{\left \{{C_{i}}\right \}} - \sum _{i=1}^{N_{c}} \frac {|C_{i}|}{n} \log _{2} \frac {|C_{i}|}{n} \tag{1}\end{equation*} </tex-math></disp-formula>]]></abstract><pub>IEEE</pub><doi>10.1109/TNSM.2017.2774978</doi><tpages>1</tpages></addata></record> |
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subjects | Artificial neural networks Boundary conditions Entropy Informatics Monitoring |
title | Correction to "Vertex Entropy as a Critical Node Measure in Network Monitoring" |
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