This script aim to determine the maximal value of m of K2,3,m graph so that can be redrawn on torus without intersection of edges. Hereinafter, will be determined the toroidal crossing number of  K2,3,m which nontoroidal by the m minimize. To determined if the K2,3,m graph is toroidal, it is enough with drawn the graph on torus without intersection of edges, whereas, to determined if it is nontoroidal, besides with drawn, is also needed by theorem about properties of graph that containing K5-subdivision. Then to determined the toroidal crossing number was used the technique by proof of the crossing number of  K2,2,3 and looked for of all probabilities of the edges is going to intersect. In this research, was obtained the result that maximal value of m of  K2,3,m so that can be drawn on torus without intersection of edges is 3, while the toroidal crossing number of  K2,3,4 is 2, and our conjecture is tcr().
Published by | Universitas Jember |
Journal Name | Jurnal ILMU DASAR |
Contact Phone | - |
Contact Name | - |
Contact Email | - |
Location | Kab. jember, Jawa timur INDONESIA |
Website | JID| https://jurnal.unej.ac.id/index.php/JID| |
ISSN | ISSN : 14115735, EISSN : 24425613, DOI : -, |
Core Subject | Science, Education, |
Meta Subject | Biochemistry, Genetics & Molecular Biology, Chemistry, Mathematics, Physics, |
Meta Desc | Jurnal ILMU DASAR (JID) adalah jurnal ilmiah yang melingkupi bidang matematika, fisika, kimia dan biologi. Naskah yang diusulkan untuk diterbitkan Jurnal Ilmu Dasar adalah naskah yang belum pernah diterbitkan dan atau tidak sedang dipertimbangkan penerbitannya di majalah lain. Jurnal Ilmu Dasar menerima tulisan hasil penelitian dasar (bukan aplikasi) untuk bidang matematika, kimia, fisika, dan biologi. Naskah ilmiah ditulis dalam bahasa Indonesia atau dalam bahasa Inggris yang baik. Secara lebih detail dapat dilihat dari pedoman penulisan. |
Penulis | Susilowati, Liliek |
Publisher Article | Fakultas Matematika dan Ilmu Pengetahuan Alam Universitas Jember |
Subtitle Article | Jurnal ILMU DASAR Vol 10 No 2 (2009) |
Scholar Google | http://scholar.google.com/scholar?q=%2Bintitle%3A&… |
View Article | https://jurnal.unej.ac.id/inde… |
DOI | http://download.garuda.ristekdikti.… |
DOI Number | Full PDF (346.448 KB) |
Download Article [1] | https://jurnal.unej.ac.id/index.php/JID/… |
Download Article [2] | http://download.garuda.ristekdikti.go.id… |