On Irregular Colorings of Unicyclic Graph Family
Irregular coloring is a proper coloring and each vertex on a graph must have a different code. The color code of a vertex v is where and is the number of vertices that are adjacent to v and colored i. The minimum k-color used in irregular coloring is called the irregular chromatic number and de...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Mathematics Department UIN Maulana Malik Ibrahim Malang
2023-05-01
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| Series: | Cauchy: Jurnal Matematika Murni dan Aplikasi |
| Subjects: | |
| Online Access: | https://ejournal.uin-malang.ac.id/index.php/Math/article/view/16917 |
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| _version_ | 1849325134895120384 |
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| author | Arika Indah Kristiana Dafik Dafik Qurrotul A’yun Robiatul Adawiyah Ridho Alfarisi |
| author_facet | Arika Indah Kristiana Dafik Dafik Qurrotul A’yun Robiatul Adawiyah Ridho Alfarisi |
| author_sort | Arika Indah Kristiana |
| collection | DOAJ |
| description | Irregular coloring is a proper coloring and each vertex on a graph must have a different code. The color code of a vertex v is where and is the number of vertices that are adjacent to v and colored i. The minimum k-color used in irregular coloring is called the irregular chromatic number and denoted by . In this paper, we discuss the irregular chromatic number for the bull graph, pan graph, sun graph, peach graph, and caveman graph. |
| format | Article |
| id | doaj-art-aa0efc9f331f4bb8a3cf0ca7a5cc7071 |
| institution | Kabale University |
| issn | 2086-0382 2477-3344 |
| language | English |
| publishDate | 2023-05-01 |
| publisher | Mathematics Department UIN Maulana Malik Ibrahim Malang |
| record_format | Article |
| series | Cauchy: Jurnal Matematika Murni dan Aplikasi |
| spelling | doaj-art-aa0efc9f331f4bb8a3cf0ca7a5cc70712025-08-20T03:48:30ZengMathematics Department UIN Maulana Malik Ibrahim MalangCauchy: Jurnal Matematika Murni dan Aplikasi2086-03822477-33442023-05-017450351210.18860/ca.v7i4.169177010On Irregular Colorings of Unicyclic Graph FamilyArika Indah Kristiana0Dafik Dafik1Qurrotul A’yun2Robiatul Adawiyah3Ridho Alfarisi4University of JemberUniversity of JemberUniversity of JemberUniversity of JemberUniversity of JemberIrregular coloring is a proper coloring and each vertex on a graph must have a different code. The color code of a vertex v is where and is the number of vertices that are adjacent to v and colored i. The minimum k-color used in irregular coloring is called the irregular chromatic number and denoted by . In this paper, we discuss the irregular chromatic number for the bull graph, pan graph, sun graph, peach graph, and caveman graph.https://ejournal.uin-malang.ac.id/index.php/Math/article/view/16917irregular coloringirregular chromatic numberunicyclic graph |
| spellingShingle | Arika Indah Kristiana Dafik Dafik Qurrotul A’yun Robiatul Adawiyah Ridho Alfarisi On Irregular Colorings of Unicyclic Graph Family Cauchy: Jurnal Matematika Murni dan Aplikasi irregular coloring irregular chromatic number unicyclic graph |
| title | On Irregular Colorings of Unicyclic Graph Family |
| title_full | On Irregular Colorings of Unicyclic Graph Family |
| title_fullStr | On Irregular Colorings of Unicyclic Graph Family |
| title_full_unstemmed | On Irregular Colorings of Unicyclic Graph Family |
| title_short | On Irregular Colorings of Unicyclic Graph Family |
| title_sort | on irregular colorings of unicyclic graph family |
| topic | irregular coloring irregular chromatic number unicyclic graph |
| url | https://ejournal.uin-malang.ac.id/index.php/Math/article/view/16917 |
| work_keys_str_mv | AT arikaindahkristiana onirregularcoloringsofunicyclicgraphfamily AT dafikdafik onirregularcoloringsofunicyclicgraphfamily AT qurrotulayun onirregularcoloringsofunicyclicgraphfamily AT robiatuladawiyah onirregularcoloringsofunicyclicgraphfamily AT ridhoalfarisi onirregularcoloringsofunicyclicgraphfamily |