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All Journal Bioma : Berkala Ilmiah Biologi FOKUS: Jurnal Kajian Keislaman dan Kemasyarakatan WAKTU: Jurnal Teknik UNIPA JURNAL PENDIDIKAN TAMBUSAI Jurnal Ekonomi
Novia Rahmawati
Universitas Bung Hatta
Religion Agriculture, Biological Sciences & Forestry Humanities Chemical Engineering, Chemistry & Bioengineering Civil Engineering, Building, Construction & Architecture Economics, Econometrics & Finance Education Electrical & Electronics Engineering Energy Engineering Environmental Science Industrial & Manufacturing Engineering Law, Crime, Criminology & Criminal Justice Materials Science & Nanotechnology Mechanical Engineering Social Sciences

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Journal : FOKUS: Jurnal Kajian Keislaman dan Kemasyarakatan

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Teorema Pohon Matriks Untuk Menentukan Banyaknya Pohon Rentangan Graf Bipartisi Komplit (Km,n) Rahmawati, Novia
FOKUS Jurnal Kajian Keislaman dan Kemasyarakatan Vol 1, No 1 (2016)
Publisher : STAIN Curup

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29240/jf.v1i1.66

Abstract

This research aims to observes panning tree number of complete bipartite graph (Km,n) by matrix-tree theorem.This research was using library research method which the step are:(1)Drawing complete bipartite graph (Km,n) where m= 1,2,3,4,and; (2)Determinin adjacency matrix and degree matrix of complete bipartite graph (Km,n); (3)Observing the different between degree matrix and adjacency matrix (laplacian matrix) from complete bipartite graph (Km,n); (4)Observing cofactor value of laplacian matrix from complete bipartite graph (Km,n); (5)Observing spanning tree number pattern from complete bipartite graph (Km,n); (6)Forming the formula within theorem; (7)Proving the theorem. The results of this research are as follows that the general form spanning tree number incomplete bipartite graph(Km,n) with m=1,2,3,4, n 1 and m, n ∈N where is: τ(Km,n) = m^(n-1).n^(m-1)
Co-Authors Auliandari, Tasya Hermin Pancasakti Kusumaningrum Muhammad Zainuri Putri, Annie Mustika Putri, Nurul Hikmah Ramadani, Amelia Sugito -