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BILANGAN KROMATIK GRACEFUL PADA KELUARGA GRAF SENTRIPETAL Lestari, Deninta Dwi Ayu; Kristiana, Arika Indah; Prihandini, Rafiantika Megahnia; Alfarisi, Ridho; Setiawan, Toto Bara; Adawiyah, Robiatul
JURNAL DIFERENSIAL Vol 6 No 1 (2024): April 2024
Publisher : Program Studi Matematika, Universitas Nusa Cendana

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35508/jd.v6i1.12746

Abstract

One of the topics studied in graphs is graph coloring. The definition of a graceful coloring, namely $k$-elegant coloring of a graph G is the exact vertex coloring c:V(G)→{ 1,2,...,k} where k≥2 induces the exact vertex coloring c^': V(G)→ {1,2,...,k-1} which is defined by c(uv)=|c(u)-c(v)|. The exact vertex coloring c of a graph G is a graceful coloring if c is a k-elegant coloring for k∈N. The graceful chromatic number is the minimum k value where graph G has k-elegant coloring, the elegant chromatic number of graph G is denoted by X_g (G). This article will discuss graceful chromatic numbers in the centripetal graph family which includes octopus graph (O_n), sandat graph (St_n),dutch windmill graph (D_3^m) , and a volcano graph (V_n).
Numerical Analysis of Airflow in Trachea Affected by Thyroid Cancer Using Finite Volume Method Fatahillah, Arif; Jannah, Miftahul; Setiawani, Susi; Setiawan, Toto Bara; Kristiana, Arika Indah
CAUCHY: Jurnal Matematika Murni dan Aplikasi Vol 9, No 1 (2024): CAUCHY: JURNAL MATEMATIKA MURNI DAN APLIKASI
Publisher : Mathematics Department, Universitas Islam Negeri Maulana Malik Ibrahim Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.18860/ca.v9i1.24376

Abstract

The study aims to analyze the airflow in the trachea due to thyroid cancer. Thyroid cancer is a cancer that attacks the thyroid gland. The thyroid gland is located in the neck below the Adam's apple. In general, thyroid cancer causes stenosis of the trachea due to cancer compression of the tracheal wall. This problem is solved using the finite volume method with SIMPLE (Semi Implicit Method for Pressure Linked Equation) discretization. This method is well suited for the discretization of irregularly shaped fluid flows. The software used is Matlab and Ansys Fluent. Matlab is used to compute numerical solutions and display graphs, while Fluent is used to visualize the air flow. The result of this study is that the greater the percentage of stenosis, the velocity of the airflow is faster and the pressure of the airflow is lower. The most critical condition for respiratory power loss is when the airflow velocity exceeds the normal limit, i.e. when the narrowing is more than 50%, the initial velocity is more than 0,1 m/s.
Co-Authors Abi Suwito Aini, Novi Rosidatul Ambarwati, A Amirullah, Iqbal Anggreini, Dinar Adi Annisatul Maghfiroh Aprilia, Erly Dwi Arif Fatahillah Arifani, Ulfa Arika Indah Kristiana Arsita, Putri Ayu Aryanto, Eko Wahyu Bunga Ayu Desy Permatasari, Bunga Ayu Cahyani, Ika Arum D. Dafik Devira Ayu Nurandari, Devira Ayu Dian Kurniati Didik Sugeng Pambudi Dinawati Trapsilasiwi Diyanah, Hidayatud Dyah Ayu Harini Elok Rahmawati Erfan Yudianto Ervin Oktavianingtyas Faiqotul Himmah Fajar Harry Fenni Octavianti Fuada, Maya Sofiatul Hajar Istiqomah Hobri Idhami, Tantri Cahya Ira Noviliya Noviliya istiqomah, puji nur Jatmiko, Dhanar Dwi Hary Jhahro, Kholif Fatujs Karimah Salasari Karimah Salasari Khofifah, Lita Khumayroh, Alfatikha Anik Kusumawati, Nurita Laili, Nuryatul Laksananti, Putri Meilinda Lestari, Deninta Dwi Ayu Linda Fitasari, Linda Lioni Anka Monalisa, Lioni Anka Ma'arifah, Rossasinensis Yarfa'ul Mahanurani, Idawati Marie Afiani Martina, Agfa Masyhudi, Muhammad Ali Meri Ismi Susanti Miftahul Jannah Mika Wahyuning Utami, Mika Wahyuning Mufidah, Diana Mulyo, Robbi Nur N Niken Niken Shofiana Dewi Nila Lestari Nila Lestari Novita Cahya Mahendra Nur Izzatun Nisa Liliyan Nur Izzatun Nisa Liliyan Octafia, Yuni Rafiantika Megahnia Prihandini Rahmawati, Enggita Randi Pratama Murtikusuma Reza Ambarwati Ridho Alfarisi, Ridho Robiatul Adawiyah Rofiq, Anita Nur Romadhoni, Linda Roni Setyawan S Suharto S Sunardi S Supriyono S Susanto Sahrita, Titis Saputri, Adhila Nuril Sha’adhah, Ziadatus Sholekhah, Irmadatus sholihin, akhmad Sidik, Zafar Muhamad Sri Wahyu Suharto Suharto Sunardi Sunardi sunardi sunardi Sunardi Sunardi Sunardi, Sunardi Suryandari, Nurlayli Dewi Susanto Susanto Susanto, Anas Susi Setiawani Titik Sugiarti Umami, Anggi Nabilla Vita Heprilia Dwi Kurniasari, Vita Heprilia Dwi Wayuda, Irma Amelinda Weny Wijayanti, Weny Y. Danni Prihartanto Yufrida Septi Nindya Yuli Farida, Yuli Zunita Khuna Triani