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	<id>https://sublinear.info/index.php?action=history&amp;feed=atom&amp;title=Open_Problems%3A92</id>
	<title>Open Problems:92 - Revision history</title>
	<link rel="self" type="application/atom+xml" href="https://sublinear.info/index.php?action=history&amp;feed=atom&amp;title=Open_Problems%3A92"/>
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	<updated>2026-04-22T18:07:32Z</updated>
	<subtitle>Revision history for this page on the wiki</subtitle>
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	<entry>
		<id>https://sublinear.info/index.php?title=Open_Problems:92&amp;diff=1261&amp;oldid=prev</id>
		<title>Krzysztof Onak: Krzysztof Onak moved page Waiting:Streaming Algorithms for Approximating the Number of Subgraphs to Open Problems:92 without leaving a redirect</title>
		<link rel="alternate" type="text/html" href="https://sublinear.info/index.php?title=Open_Problems:92&amp;diff=1261&amp;oldid=prev"/>
		<updated>2019-08-20T03:48:33Z</updated>

		<summary type="html">&lt;p&gt;Krzysztof Onak moved page &lt;a href=&quot;/index.php?title=Waiting:Streaming_Algorithms_for_Approximating_the_Number_of_Subgraphs&amp;amp;action=edit&amp;amp;redlink=1&quot; class=&quot;new&quot; title=&quot;Waiting:Streaming Algorithms for Approximating the Number of Subgraphs (page does not exist)&quot;&gt;Waiting:Streaming Algorithms for Approximating the Number of Subgraphs&lt;/a&gt; to &lt;a href=&quot;/index.php?title=Open_Problems:92&quot; title=&quot;Open Problems:92&quot;&gt;Open Problems:92&lt;/a&gt; without leaving a redirect&lt;/p&gt;
&lt;table class=&quot;diff diff-contentalign-left&quot; data-mw=&quot;interface&quot;&gt;
				&lt;tr class=&quot;diff-title&quot; lang=&quot;en&quot;&gt;
				&lt;td colspan=&quot;1&quot; style=&quot;background-color: #fff; color: #222; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;1&quot; style=&quot;background-color: #fff; color: #222; text-align: center;&quot;&gt;Revision as of 03:48, 20 August 2019&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-notice&quot; lang=&quot;en&quot;&gt;&lt;div class=&quot;mw-diff-empty&quot;&gt;(No difference)&lt;/div&gt;
&lt;/td&gt;&lt;/tr&gt;&lt;/table&gt;</summary>
		<author><name>Krzysztof Onak</name></author>
		
	</entry>
	<entry>
		<id>https://sublinear.info/index.php?title=Open_Problems:92&amp;diff=1260&amp;oldid=prev</id>
		<title>Krzysztof Onak: Updating the header</title>
		<link rel="alternate" type="text/html" href="https://sublinear.info/index.php?title=Open_Problems:92&amp;diff=1260&amp;oldid=prev"/>
		<updated>2019-08-20T03:48:15Z</updated>

		<summary type="html">&lt;p&gt;Updating the header&lt;/p&gt;
&lt;table class=&quot;diff diff-contentalign-left&quot; data-mw=&quot;interface&quot;&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
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				&lt;col class=&quot;diff-marker&quot; /&gt;
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				&lt;tr class=&quot;diff-title&quot; lang=&quot;en&quot;&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #222; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #222; text-align: center;&quot;&gt;Revision as of 03:48, 20 August 2019&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l1&quot; &gt;Line 1:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 1:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;{{Header&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;{{Header&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;|title=Streaming Algorithms for Approximating the Number of $H$-Subgraphs&lt;/del&gt;&lt;/div&gt;&lt;/td&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;#160;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;|source=warwick18&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;|source=warwick18&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;|who=He Sun&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;|who=He Sun&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Krzysztof Onak</name></author>
		
	</entry>
	<entry>
		<id>https://sublinear.info/index.php?title=Open_Problems:92&amp;diff=1244&amp;oldid=prev</id>
		<title>Ccanonne: Created page with &quot;{{Header |title=Streaming Algorithms for Approximating the Number of $H$-Subgraphs |source=warwick18 |who=He Sun }} Designing a streaming algorithm that approximately computes...&quot;</title>
		<link rel="alternate" type="text/html" href="https://sublinear.info/index.php?title=Open_Problems:92&amp;diff=1244&amp;oldid=prev"/>
		<updated>2019-08-07T21:57:17Z</updated>

		<summary type="html">&lt;p&gt;Created page with &amp;quot;{{Header |title=Streaming Algorithms for Approximating the Number of $H$-Subgraphs |source=warwick18 |who=He Sun }} Designing a streaming algorithm that approximately computes...&amp;quot;&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;{{Header&lt;br /&gt;
|title=Streaming Algorithms for Approximating the Number of $H$-Subgraphs&lt;br /&gt;
|source=warwick18&lt;br /&gt;
|who=He Sun&lt;br /&gt;
}}&lt;br /&gt;
Designing a streaming algorithm that approximately computes the number&lt;br /&gt;
of a subgraph is an intensively studied problem with applications in&lt;br /&gt;
data mining and database theory. The space complexities of such&lt;br /&gt;
algorithms are usually a function of $\#$H (the number of subgraph $H$), so&lt;br /&gt;
an algorithm gives a good approximation of $\#H$ in sublinear space only&lt;br /&gt;
if a reasonable lower bound of $\#H$ is known in advance, which is not&lt;br /&gt;
realistic for some scenarios. It’s practically interesting to study&lt;br /&gt;
the possibility of designing a multi-pass streaming algorithm which&lt;br /&gt;
gives a guaranteed approximation of $\#H$ and does not assume the&lt;br /&gt;
knowledge of a lower bound of $\#H$. Specifically, it is interesting to&lt;br /&gt;
see, for any algorithm that gives an $\alpha$-approximation of $\#H$, the&lt;br /&gt;
relationship needed among $\alpha$, the space complexity and the number&lt;br /&gt;
of passes (not necessarily a constant) that the algorithm needs to&lt;br /&gt;
read the input graph stream.&lt;/div&gt;</summary>
		<author><name>Ccanonne</name></author>
		
	</entry>
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