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Flooding algorithm - Wikipedia
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sources">reliable secondary sources</a> that are <a href="/wiki/Wikipedia:Independent_sources" title="Wikipedia:Independent sources">independent</a> of the topic and provide significant coverage of it beyond a mere trivial mention. If notability cannot be shown, the article is likely to be <a href="/wiki/Wikipedia:Merging" title="Wikipedia:Merging">merged</a>, <a href="/wiki/Wikipedia:Redirect" title="Wikipedia:Redirect">redirected</a>, or <a href="/wiki/Wikipedia:Deletion_policy" title="Wikipedia:Deletion policy">deleted</a>.<br /><small><span class="plainlinks"><i>Find sources:</i> <a rel="nofollow" class="external text" href="https://www.google.com/search?as_eq=wikipedia&q=%22Flooding+algorithm%22">"Flooding algorithm"</a> – <a rel="nofollow" class="external text" href="https://www.google.com/search?tbm=nws&q=%22Flooding+algorithm%22+-wikipedia&tbs=ar:1">news</a> <b>·</b> <a rel="nofollow" class="external text" href="https://www.google.com/search?&q=%22Flooding+algorithm%22&tbs=bkt:s&tbm=bks">newspapers</a> <b>·</b> <a rel="nofollow" class="external text" href="https://www.google.com/search?tbs=bks:1&q=%22Flooding+algorithm%22+-wikipedia">books</a> <b>·</b> <a rel="nofollow" class="external text" href="https://scholar.google.com/scholar?q=%22Flooding+algorithm%22">scholar</a> <b>·</b> <a rel="nofollow" class="external text" href="https://www.jstor.org/action/doBasicSearch?Query=%22Flooding+algorithm%22&acc=on&wc=on">JSTOR</a></span></small></span> <span class="date-container"><i>(<span class="date">January 2024</span>)</i></span><span class="hide-when-compact"><i> (<small><a href="/wiki/Help:Maintenance_template_removal" title="Help:Maintenance template removal">Learn how and when to remove this message</a></small>)</i></span></div></td></tr></tbody></table> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1251242444"><table class="box-Unreferenced plainlinks metadata ambox ambox-content ambox-Unreferenced" role="presentation"><tbody><tr><td class="mbox-image"><div class="mbox-image-div"><span typeof="mw:File"><a href="/wiki/File:Question_book-new.svg" class="mw-file-description"><img alt="" src="//upload.wikimedia.org/wikipedia/en/thumb/9/99/Question_book-new.svg/50px-Question_book-new.svg.png" decoding="async" width="50" height="39" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/en/thumb/9/99/Question_book-new.svg/75px-Question_book-new.svg.png 1.5x, //upload.wikimedia.org/wikipedia/en/thumb/9/99/Question_book-new.svg/100px-Question_book-new.svg.png 2x" data-file-width="512" data-file-height="399" /></a></span></div></td><td class="mbox-text"><div class="mbox-text-span">This article <b>does not <a href="/wiki/Wikipedia:Citing_sources" title="Wikipedia:Citing sources">cite</a> any <a href="/wiki/Wikipedia:Verifiability" title="Wikipedia:Verifiability">sources</a></b>.<span class="hide-when-compact"> Please help <a href="/wiki/Special:EditPage/Flooding_algorithm" title="Special:EditPage/Flooding algorithm">improve this article</a> by <a href="/wiki/Help:Referencing_for_beginners" title="Help:Referencing for beginners">adding citations to reliable sources</a>. Unsourced material may be challenged and <a href="/wiki/Wikipedia:Verifiability#Burden_of_evidence" title="Wikipedia:Verifiability">removed</a>.<br /><small><span class="plainlinks"><i>Find sources:</i> <a rel="nofollow" class="external text" href="https://www.google.com/search?as_eq=wikipedia&q=%22Flooding+algorithm%22">"Flooding algorithm"</a> – <a rel="nofollow" class="external text" href="https://www.google.com/search?tbm=nws&q=%22Flooding+algorithm%22+-wikipedia&tbs=ar:1">news</a> <b>·</b> <a rel="nofollow" class="external text" href="https://www.google.com/search?&q=%22Flooding+algorithm%22&tbs=bkt:s&tbm=bks">newspapers</a> <b>·</b> <a rel="nofollow" class="external text" href="https://www.google.com/search?tbs=bks:1&q=%22Flooding+algorithm%22+-wikipedia">books</a> <b>·</b> <a rel="nofollow" class="external text" href="https://scholar.google.com/scholar?q=%22Flooding+algorithm%22">scholar</a> <b>·</b> <a rel="nofollow" class="external text" href="https://www.jstor.org/action/doBasicSearch?Query=%22Flooding+algorithm%22&acc=on&wc=on">JSTOR</a></span></small></span> <span class="date-container"><i>(<span class="date">January 2024</span>)</i></span><span class="hide-when-compact"><i> (<small><a href="/wiki/Help:Maintenance_template_removal" title="Help:Maintenance template removal">Learn how and when to remove this message</a></small>)</i></span></div></td></tr></tbody></table> </div> </div><span class="hide-when-compact"><i> (<small><a href="/wiki/Help:Maintenance_template_removal" title="Help:Maintenance template removal">Learn how and when to remove this message</a></small>)</i></span></div></td></tr></tbody></table> <p>A <b>flooding algorithm</b> is an <a href="/wiki/Algorithm" title="Algorithm">algorithm</a> for distributing material to every part of a <a href="/wiki/Graph_(discrete_mathematics)" title="Graph (discrete mathematics)">graph</a>. The name derives from the concept of inundation by a <a href="/wiki/Flood" title="Flood">flood</a>. Flooding algorithms are used in <a href="/wiki/Flooding_(computer_networking)" title="Flooding (computer networking)">computer networking</a> and <a href="/wiki/Flood_fill" title="Flood fill">graphics</a>. Flooding algorithms are also useful for solving many mathematical problems, including <a href="/wiki/Maze" title="Maze">maze</a> problems and many problems in <a href="/wiki/Graph_theory" title="Graph theory">graph theory</a>. </p><p>Different flooding algorithms can be applied for different problems, and run with different <a href="/wiki/Time_complexities" class="mw-redirect" title="Time complexities">time complexities</a>. For example, the <a href="/wiki/Flood_fill" title="Flood fill">flood fill</a> algorithm is a simple but relatively robust algorithm that works for intricate geometries and can determine which part of the (target) area that is <a href="/wiki/Glossary_of_graph_theory#Connectivity" title="Glossary of graph theory">connected</a> to a given (source) node in a multi-dimensional <a href="/wiki/Array_data_structure" class="mw-redirect" title="Array data structure">array</a>, and is trivially generalized to arbitrary graph structures. If there instead are several source nodes, there are no obstructions in the geometry represented in the multi-dimensional array, and one wishes to segment the area based on which of the source nodes the target nodes are closest to, while the flood fill algorithm can still be used, the <a href="/wiki/Jump_flooding_algorithm" title="Jump flooding algorithm">jump flooding algorithm</a> is potentially much faster as it has a lower time complexity. Unlike the flood fill algorithm, however, the jump flooding algorithm cannot trivially be generalized to unstructured graphs. </p> <div class="mw-heading mw-heading2"><h2 id="See_also">See also</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Flooding_algorithm&action=edit&section=1" title="Edit section: See also"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a href="/wiki/Flooding_(computer_networking)" title="Flooding (computer networking)">Flooding (computer networking)</a></li> <li><a href="/wiki/Water_retention_on_mathematical_surfaces" class="mw-redirect" title="Water retention on mathematical surfaces">Water retention on mathematical surfaces</a></li> <li><a href="/wiki/Flood_fill" title="Flood fill">Flood fill</a></li> <li><a href="/wiki/Graph_traversal" title="Graph traversal">Graph traversal</a></li> <li><a href="/wiki/Spanning_tree" title="Spanning tree">Spanning tree</a></li> <li><a href="/wiki/Spanning_Tree_Protocol" title="Spanning Tree Protocol">Spanning Tree Protocol</a></li> <li><a href="/wiki/Amnesiac_flooding" title="Amnesiac flooding">Amnesiac Flooding</a></li></ul> <div class="mw-heading mw-heading2"><h2 id="References">References</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Flooding_algorithm&action=edit&section=2" title="Edit section: References"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <style data-mw-deduplicate="TemplateStyles:r1239543626">.mw-parser-output .reflist{margin-bottom:0.5em;list-style-type:decimal}@media screen{.mw-parser-output .reflist{font-size:90%}}.mw-parser-output .reflist .references{font-size:100%;margin-bottom:0;list-style-type:inherit}.mw-parser-output .reflist-columns-2{column-width:30em}.mw-parser-output .reflist-columns-3{column-width:25em}.mw-parser-output .reflist-columns{margin-top:0.3em}.mw-parser-output .reflist-columns ol{margin-top:0}.mw-parser-output .reflist-columns li{page-break-inside:avoid;break-inside:avoid-column}.mw-parser-output .reflist-upper-alpha{list-style-type:upper-alpha}.mw-parser-output .reflist-upper-roman{list-style-type:upper-roman}.mw-parser-output .reflist-lower-alpha{list-style-type:lower-alpha}.mw-parser-output .reflist-lower-greek{list-style-type:lower-greek}.mw-parser-output .reflist-lower-roman{list-style-type:lower-roman}</style><div class="reflist"> </div> <div class="mw-heading mw-heading2"><h2 id="External_links">External links</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Flooding_algorithm&action=edit&section=3" title="Edit section: External links"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a rel="nofollow" class="external text" href="https://arxiv.org/abs/1305.5756">Flooding edge or node weighted graphs, Fernand Meyer</a></li> <li><a rel="nofollow" class="external text" href="https://web.archive.org/web/20131211173036/http://users.eastlink.ca/~sharrywhite/Download.html">Water Retention Utility</a></li></ul> <!-- NewPP limit report Parsed by mw‐api‐int.codfw.main‐5b4bfbf464‐psqfq Cached time: 20241126125822 Cache expiry: 2592000 Reduced expiry: false Complications: [vary‐revision‐sha1] CPU time usage: 0.155 seconds Real time usage: 0.217 seconds Preprocessor visited node count: 620/1000000 Post‐expand include size: 43196/2097152 bytes Template argument size: 11571/2097152 bytes Highest expansion depth: 16/100 Expensive parser function count: 2/500 Unstrip recursion depth: 0/20 Unstrip post‐expand size: 6909/5000000 bytes Lua time usage: 0.084/10.000 seconds Lua memory usage: 2380815/52428800 bytes Number of Wikibase entities loaded: 0/400 --> <!-- Transclusion expansion time report (%,ms,calls,template) 100.00% 187.250 1 -total 54.43% 101.916 1 Template:Multiple_issues 39.43% 73.834 1 Template:Short_description 37.10% 69.472 2 Template:Ambox 36.79% 68.897 1 Template:Notability 23.97% 44.892 2 Template:Pagetype 8.85% 16.563 2 Template:Find_sources_mainspace 8.34% 15.616 4 Template:Main_other 6.85% 12.830 1 Template:SDcat 6.01% 11.248 1 Template:Reflist --> <!-- Saved in parser cache with key enwiki:pcache:idhash:203468-0!canonical and timestamp 20241126125822 and revision id 1254330164. 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