{"id":847,"date":"2017-09-16T11:39:50","date_gmt":"2017-09-16T04:39:50","guid":{"rendered":"http:\/\/binus.ac.id\/malang\/?p=847"},"modified":"2017-10-20T14:35:23","modified_gmt":"2017-10-20T07:35:23","slug":"operasi-insert-pada-red-black-tree","status":"publish","type":"post","link":"https:\/\/binus.ac.id\/malang\/2017\/09\/operasi-insert-pada-red-black-tree\/","title":{"rendered":"Operasi Insert Pada Red Black Tree"},"content":{"rendered":"<p style=\"text-align: justify\">\n<p style=\"text-align: justify\"><em>Red black tree<\/em> merupakan salah satu tipe <em>self balancing Binary Search Tree<\/em> yang juga disebut sebagai <em>simetris binary B-tree<\/em>. Meskipun <em>red black tree rumit<\/em>, namun memiliki waktu terburuk yang efisien untuk digunakan pada saat melakukan <em>search, insert<\/em> dan <em>delet<\/em>e dalam waktu .<\/p>\n<p style=\"text-align: justify\">Dalam artikel ini akan dibahas tentang operasi <em>insert<\/em> pada <em>red black tree<\/em>. Sebelum membahas tentang operasi <em>insert<\/em> pada <em>red black tree <\/em>perlu diketahui karakteristik <em>red black tree<\/em> :<\/p>\n<p style=\"text-align: justify\">Karakteristik <em>red black tree<\/em> :<\/p>\n<ol style=\"text-align: justify\">\n<li>Setiap node memiliki warna red (merah) atau <em>black<\/em> (hitam).<\/li>\n<li>Warna node root selalu berwarna hitam.<\/li>\n<li>Semua node <em>leaf<\/em> berwarna hitam.<\/li>\n<li>Setiap node berwarna merah memiliki dua anak yang berwarna hitam.<\/li>\n<li>Setiap jalur dari root ke semua <em>leaf<\/em> harus memiliki jumlah node <em>black<\/em> yang sama.<\/li>\n<\/ol>\n<p style=\"text-align: justify\">Berikut ini adalah contoh dari <em>red black tree<\/em> :<\/p>\n<figure id=\"attachment_850\" aria-describedby=\"figcaption_attachment_850\" class=\"wp-caption clear alignnone\" itemscope itemtype=\"http:\/\/schema.org\/ImageObject\" style=\"width: 640px\"><img loading=\"lazy\" decoding=\"async\" itemprop=\"contentURL\" class=\"size-medium wp-image-850\" src=\"http:\/\/binus.ac.id\/malang\/wp-content\/uploads\/2017\/09\/aaaaaa-640x295.png\" alt=\"\" width=\"640\" height=\"295\" srcset=\"https:\/\/binus.ac.id\/malang\/wp-content\/uploads\/2017\/09\/aaaaaa-640x295.png 640w, https:\/\/binus.ac.id\/malang\/wp-content\/uploads\/2017\/09\/aaaaaa.png 782w\" sizes=\"auto, (max-width: 640px) 100vw, 640px\" \/><figcaption id=\"figcaption_attachment_850\" class=\"wp-caption-text\" itemprop=\"description\">Gambar 1 Red Black Tree<\/figcaption><\/figure>\n<p style=\"text-align: justify\">\n<p style=\"text-align: justify\">Keterangan : box kuning merupakan karakteristik <em>red black tree<\/em> yang telah dijelaskan di atas.<\/p>\n<p style=\"text-align: justify\">Pada operasi <em>insert <\/em>ada 3 hal yang perlu diperhatikan :<\/p>\n<ol style=\"text-align: justify\">\n<li>Pada saat melakukan <em>insert<\/em> node baru, aturannya sama dengan seperti melakukan <em>insert<\/em> node baru pada <em>binary search tree<\/em>.<\/li>\n<li>Setiap node baru yang di <em>insert<\/em> berwarna merah.<\/li>\n<li>Perbaiki pelanggaran <em>red black tree<\/em> yang terjadi pada saat operasi <em>insert<\/em>.<\/li>\n<\/ol>\n<p style=\"text-align: justify\">Misalkan :<\/p>\n<p style=\"text-align: justify\">Q = node baru yang di <em>insert<\/em><\/p>\n<p style=\"text-align: justify\">P = <em>parent<\/em> dari Q<\/p>\n<p style=\"text-align: justify\">S = <em>sibling<\/em> dari P (<em>uncle<\/em> dari Q)<\/p>\n<p style=\"text-align: justify\">\n<p style=\"text-align: justify\">\n<ul style=\"text-align: justify\">\n<li>Adapun kondisi yang terjadi pada saat insert adalah sebagai berikut :Jika Q = root maka warna Q = hitam.<\/li>\n<\/ul>\n<figure id=\"attachment_851\" aria-describedby=\"figcaption_attachment_851\" class=\"wp-caption clear aligncenter\" itemscope itemtype=\"http:\/\/schema.org\/ImageObject\" style=\"width: 124px\"><img loading=\"lazy\" decoding=\"async\" itemprop=\"contentURL\" class=\"size-full wp-image-851\" src=\"http:\/\/binus.ac.id\/malang\/wp-content\/uploads\/2017\/09\/sdadsdsdasda.png\" alt=\"\" width=\"124\" height=\"121\" \/><figcaption id=\"figcaption_attachment_851\" class=\"wp-caption-text\" itemprop=\"description\">Gambar 2 Insert Q kondisi A<\/figcaption><\/figure>\n<p style=\"text-align: justify\">\n<ul style=\"text-align: justify\">\n<li>Jika warna P = hitam maka warna Q tidak berubah.<\/li>\n<\/ul>\n<figure id=\"attachment_853\" aria-describedby=\"figcaption_attachment_853\" class=\"wp-caption clear alignnone\" itemscope itemtype=\"http:\/\/schema.org\/ImageObject\" style=\"width: 334px\"><img loading=\"lazy\" decoding=\"async\" itemprop=\"contentURL\" class=\"size-full wp-image-853\" src=\"http:\/\/binus.ac.id\/malang\/wp-content\/uploads\/2017\/09\/sdsadsadsadsad.png\" alt=\"\" width=\"334\" height=\"182\" \/><figcaption id=\"figcaption_attachment_853\" class=\"wp-caption-text\" itemprop=\"description\">Gambar 3 Insert Q kondisi B<\/figcaption><\/figure>\n<p style=\"text-align: justify\">\n<ul style=\"text-align: justify\">\n<li>Jika warna P = merah dan warna S = merah maka ubah warna P dan S menjadi hitam dan <em>parent<\/em> dari P menjadi merah.<\/li>\n<\/ul>\n<figure id=\"attachment_856\" aria-describedby=\"figcaption_attachment_856\" class=\"wp-caption clear alignnone\" itemscope itemtype=\"http:\/\/schema.org\/ImageObject\" style=\"width: 572px\"><img loading=\"lazy\" decoding=\"async\" itemprop=\"contentURL\" class=\"size-full wp-image-856\" src=\"http:\/\/binus.ac.id\/malang\/wp-content\/uploads\/2017\/09\/sdadsdsadad.png\" alt=\"\" width=\"572\" height=\"240\" \/><figcaption id=\"figcaption_attachment_856\" class=\"wp-caption-text\" itemprop=\"description\">Gambar 4 Insert Q kondisi C1<\/figcaption><\/figure>\n<p style=\"text-align: justify\">\n<p style=\"text-align: justify\">Atau<\/p>\n<figure id=\"attachment_857\" aria-describedby=\"figcaption_attachment_857\" class=\"wp-caption clear alignnone\" itemscope itemtype=\"http:\/\/schema.org\/ImageObject\" style=\"width: 572px\"><img loading=\"lazy\" decoding=\"async\" itemprop=\"contentURL\" class=\"size-full wp-image-857\" src=\"http:\/\/binus.ac.id\/malang\/wp-content\/uploads\/2017\/09\/aaaa.png\" alt=\"\" width=\"572\" height=\"240\" \/><figcaption id=\"figcaption_attachment_857\" class=\"wp-caption-text\" itemprop=\"description\">Gambar 5 Insert Q kondisi C2<\/figcaption><\/figure>\n<p style=\"text-align: justify\">Catatan : Jika GP merupakan root maka warnanya menjadi hitam sesuai dengan karakteristik 2.<\/p>\n<p style=\"text-align: justify\">\n<ul style=\"text-align: justify\">\n<li>Jika warna P = merah dan warna S = hitam lakukan rotasi (<em>single <\/em>atau <em>double<\/em>) kemudian dari hasil akhir rotasi tersebut ubah warna P yang baru menjadi hitam dan anak (<em>child<\/em>) yang baru menjadi merah. Jika S tidak ada atau P tidak memiliki sibling maka S dianggap berwarna hitam (setiap eksternal node berwarna hitam) dan aturan pada point D ini berlaku.\n<ol>\n<li>Rotasi single (single rotation) :<\/li>\n<\/ol>\n<\/li>\n<\/ul>\n<figure id=\"attachment_860\" aria-describedby=\"figcaption_attachment_860\" class=\"wp-caption clear alignnone\" itemscope itemtype=\"http:\/\/schema.org\/ImageObject\" style=\"width: 632px\"><img loading=\"lazy\" decoding=\"async\" itemprop=\"contentURL\" class=\"size-full wp-image-860\" src=\"http:\/\/binus.ac.id\/malang\/wp-content\/uploads\/2017\/09\/aasdsdad.png\" alt=\"\" width=\"632\" height=\"240\" \/><figcaption id=\"figcaption_attachment_860\" class=\"wp-caption-text\" itemprop=\"description\">Gambar 6 Insert Q kondisi D1.1.<\/figcaption><\/figure>\n<p style=\"text-align: justify\">atau<\/p>\n<figure id=\"attachment_862\" aria-describedby=\"figcaption_attachment_862\" class=\"wp-caption clear alignnone\" itemscope itemtype=\"http:\/\/schema.org\/ImageObject\" style=\"width: 575px\"><img loading=\"lazy\" decoding=\"async\" itemprop=\"contentURL\" class=\"size-full wp-image-862\" src=\"http:\/\/binus.ac.id\/malang\/wp-content\/uploads\/2017\/09\/jjjjjj.png\" alt=\"\" width=\"575\" height=\"240\" \/><figcaption id=\"figcaption_attachment_862\" class=\"wp-caption-text\" itemprop=\"description\">Gambar 7 Insert Q kondisi D1.2.<\/figcaption><\/figure>\n<p style=\"text-align: justify\">\n<p style=\"text-align: justify\">atau<\/p>\n<figure id=\"attachment_865\" aria-describedby=\"figcaption_attachment_865\" class=\"wp-caption clear alignnone\" itemscope itemtype=\"http:\/\/schema.org\/ImageObject\" style=\"width: 514px\"><img loading=\"lazy\" decoding=\"async\" itemprop=\"contentURL\" class=\"size-full wp-image-865\" src=\"http:\/\/binus.ac.id\/malang\/wp-content\/uploads\/2017\/09\/kkkkkkk.png\" alt=\"\" width=\"514\" height=\"240\" \/><figcaption id=\"figcaption_attachment_865\" class=\"wp-caption-text\" itemprop=\"description\">Gambar 8 Insert Q kondisi D1.3.<\/figcaption><\/figure>\n<p style=\"text-align: justify\">atau<\/p>\n<figure id=\"attachment_866\" aria-describedby=\"figcaption_attachment_866\" class=\"wp-caption clear alignnone\" itemscope itemtype=\"http:\/\/schema.org\/ImageObject\" style=\"width: 484px\"><img loading=\"lazy\" decoding=\"async\" itemprop=\"contentURL\" class=\"size-full wp-image-866\" src=\"http:\/\/binus.ac.id\/malang\/wp-content\/uploads\/2017\/09\/hhhhhh.png\" alt=\"\" width=\"484\" height=\"240\" \/><figcaption id=\"figcaption_attachment_866\" class=\"wp-caption-text\" itemprop=\"description\">Gambar 9 Insert Q kondisi D1.4.<\/figcaption><\/figure>\n<p style=\"text-align: justify\">\n<p style=\"text-align: justify\">\n<ul style=\"text-align: justify\">\n<li>Rotasi double (double rotation)<\/li>\n<\/ul>\n<figure id=\"attachment_868\" aria-describedby=\"figcaption_attachment_868\" class=\"wp-caption clear alignnone\" itemscope itemtype=\"http:\/\/schema.org\/ImageObject\" style=\"width: 601px\"><img loading=\"lazy\" decoding=\"async\" itemprop=\"contentURL\" class=\"size-full wp-image-868\" src=\"http:\/\/binus.ac.id\/malang\/wp-content\/uploads\/2017\/09\/mmmmmmm.png\" alt=\"\" width=\"601\" height=\"240\" \/><figcaption id=\"figcaption_attachment_868\" class=\"wp-caption-text\" itemprop=\"description\">Gambar 10 Insert Q kondisi D2.1.<\/figcaption><\/figure>\n<p style=\"text-align: justify\">\n<p style=\"text-align: justify\">atau<\/p>\n<p style=\"text-align: justify\">\n<figure id=\"attachment_871\" aria-describedby=\"figcaption_attachment_871\" class=\"wp-caption clear alignnone\" itemscope itemtype=\"http:\/\/schema.org\/ImageObject\" style=\"width: 570px\"><img loading=\"lazy\" decoding=\"async\" itemprop=\"contentURL\" class=\"size-full wp-image-871\" src=\"http:\/\/binus.ac.id\/malang\/wp-content\/uploads\/2017\/09\/nnnnnnn.png\" alt=\"\" width=\"570\" height=\"240\" \/><figcaption id=\"figcaption_attachment_871\" class=\"wp-caption-text\" itemprop=\"description\">Gambar 11 Insert Q kondisi D2.2<\/figcaption><\/figure>\n<p style=\"text-align: justify\">\n<p style=\"text-align: justify\">atau<\/p>\n<figure id=\"attachment_872\" aria-describedby=\"figcaption_attachment_872\" class=\"wp-caption clear alignnone\" itemscope itemtype=\"http:\/\/schema.org\/ImageObject\" style=\"width: 572px\"><img loading=\"lazy\" decoding=\"async\" itemprop=\"contentURL\" class=\"size-full wp-image-872\" src=\"http:\/\/binus.ac.id\/malang\/wp-content\/uploads\/2017\/09\/lllllll.png\" alt=\"\" width=\"572\" height=\"240\" \/><figcaption id=\"figcaption_attachment_872\" class=\"wp-caption-text\" itemprop=\"description\">Gambar 12 Insert Q dengan kondisi D2.3.<\/figcaption><\/figure>\n<p style=\"text-align: justify\">\n<p style=\"text-align: justify\">atau<\/p>\n<figure id=\"attachment_875\" aria-describedby=\"figcaption_attachment_875\" class=\"wp-caption clear alignnone\" itemscope itemtype=\"http:\/\/schema.org\/ImageObject\" style=\"width: 542px\"><img loading=\"lazy\" decoding=\"async\" itemprop=\"contentURL\" class=\"size-full wp-image-875\" src=\"http:\/\/binus.ac.id\/malang\/wp-content\/uploads\/2017\/09\/zzzzzz.png\" alt=\"\" width=\"542\" height=\"240\" srcset=\"https:\/\/binus.ac.id\/malang\/wp-content\/uploads\/2017\/09\/zzzzzz.png 542w, https:\/\/binus.ac.id\/malang\/wp-content\/uploads\/2017\/09\/zzzzzz-415x185.png 415w\" sizes=\"auto, (max-width: 542px) 100vw, 542px\" \/><figcaption id=\"figcaption_attachment_875\" class=\"wp-caption-text\" itemprop=\"description\">Gambar 13 Insert Q kondisi D2.4.<\/figcaption><\/figure>\n<p style=\"text-align: justify\">\n<p style=\"text-align: justify\">Referensi :<\/p>\n<ol>\n<li style=\"text-align: justify\">Reema Thareja. (2014). Data Structure Using C. 02. OXFOR. New Delhi. ISBN : 9780198099307<\/li>\n<\/ol>\n","protected":false},"excerpt":{"rendered":"<p>Red black tree merupakan salah satu tipe self balancing Binary Search Tree yang juga disebut sebagai simetris binary B-tree. Meskipun red black tree rumit, namun memiliki waktu terburuk yang efisien untuk digunakan pada saat melakukan search, insert dan delete dalam waktu . Dalam artikel ini akan dibahas tentang operasi insert pada red black tree. Sebelum [&hellip;]<\/p>\n","protected":false},"author":19,"featured_media":850,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[122,128],"tags":[110],"class_list":["post-847","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-articles","category-computer-science","tag-it"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v23.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Operasi Insert Pada Red Black Tree | BINUS UNIVERSITY MALANG | Pilihan Universitas Terbaik di Malang<\/title>\n<meta name=\"description\" content=\"BINUS University Malang Merupakan Universitas Terbaik di Malang dengan Program Computer Science, Entrepreneurship Bussiness Creation, Computer Science, Interior Design, Communication, Public Relations, Visual Communication Design.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, 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