The bandwidth sum of some classes of graphs

• Main Authors: Mmei-Ju Chen, 陳美如
• Other Authors: David Kuo
• Format: Others
• Language: en_US
• Published: 2000
• Online Access: http://ndltd.ncl.edu.tw/handle/37586819605984683233

碩士 === 國立東華大學 === 應用數學系 === 88 === Given a graph G , a proper labeling f of G is an one-to-one function. The bandwidth sum of a graph G , denoted by B_s is defined byB_s=min{sum_{uv in E(G)}|f(u)-f(v)|} , where the minimum is taken for all proper labeling f of G . In this thesis, we study the bandwidth sum problem for the join of k graphs G_{1},G_{2},...,G_{k} , where each G_{i} is a path, cycle, complete graph, or union of isolated vertices. We also study the bandwidth sum for the composition of a path P_{n} with a graph H , where H is a path, cycle, or union of isolated vertices.