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Theta-3 is connected
Affiliation:1. Institute for Software Technology, Graz University of Technology, Austria;2. Department of Computer Science, Kyonggi University, Republic of Korea;3. School of Computer Science, Carleton University, Canada;4. Département d''Informatique, Université Libre de Bruxelles, Belgium;5. National Institute of Informatics, Tokyo, Japan;6. JST, ERATO, Kawarabayashi Large Graph Project, Japan;7. College of Science and Engineering, American University of Armenia, Armenia
Abstract:In this paper, we show that the θ-graph with three cones is connected. We also provide an alternative proof of the connectivity of the Yao graph with three cones.
Keywords:Yao graphs  Theta graphs  Spanning graphs  Connected networks
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