运筹学学报
運籌學學報
운주학학보
OR TRANSACTIONS
2002年
1期
45-52
,共8页
二维带宽%Laplacian特征值%最优嵌入
二維帶寬%Laplacian特徵值%最優嵌入
이유대관%Laplacian특정치%최우감입
2-dimensional bandwidth%Laplacian eigenvalue%optimal embedding
图的二维带宽问题是将图G嵌入平面网格图,并使基于该嵌入的函数取得最优值(通常是最小值).本文研究了图的二维带宽与其Laplacian特征值之间的关系.
圖的二維帶寬問題是將圖G嵌入平麵網格圖,併使基于該嵌入的函數取得最優值(通常是最小值).本文研究瞭圖的二維帶寬與其Laplacian特徵值之間的關繫.
도적이유대관문제시장도G감입평면망격도,병사기우해감입적함수취득최우치(통상시최소치).본문연구료도적이유대관여기Laplacian특정치지간적관계.
The 2-dimensional bandwidth problem may be stated as follows: Given a graph G, find an embedding of it in the grid graph, such that a certain function based on the chosen embedding will attain its optimal (usually minimum). In this paper we study the relationship between the 2-dimensional bandwidth and the Laplacian eigenvalues of a graph.