SARI, VIANITA and Sumanto, Y.D. and IRAWANTO, BAMBANG (2010) GRAF GENAP. Undergraduate thesis, Fakultas Matematika dan Ilmu Pengetahuan Alam.
A graph G is called even if for each vertex v∈G there is a unique buddy v ̅∈G, and d(v,v ̅ ) = diam G. In this final assigment will be explained about the properties of even graph and special even graph. For an even graph of order n and diameter d other than an even cycle graph it is shown that n≥3d-1. Some kind of special even graphs are even graph balanced, even graph harmonic, and even graph symmetric. An even graph G is called balanced if deg〖v=degv ̅ 〗 for each v ∈V(G), harmonic if uv ∈E(G) than u ̅ v ̅ ∈E(G) for all u,v ∈V(G), and symmetric if d(u,v)+d(u,v ̅ )=diam G for all u,v ∈V(G). For an even graph symmetric of order n and diameter d other than an even cycle graph it is shown that n≥3d-1. Union and join from two even graphs are not always even. In the other hand, Cartesian product of two even graphs are always even.
|Item Type:||Thesis (Undergraduate)|
|Subjects:||Q Science > QA Mathematics|
|Divisions:||Faculty of Science and Mathematics > Department of Mathematics|
|Deposited By:||INVALID USER|
|Deposited On:||20 Apr 2011 08:53|
|Last Modified:||20 Apr 2011 08:53|
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