M-convex functions and tree metrics
β Scribed by Hiroshi Hira; Kazuo Murota
- Book ID
- 105722630
- Publisher
- Japan Society for Industrial and Applied Mathematics
- Year
- 2004
- Tongue
- English
- Weight
- 717 KB
- Volume
- 21
- Category
- Article
- ISSN
- 0916-7005
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π SIMILAR VOLUMES
We introduce two classes of discrete quasiconvex functions, called quasi M-and L-convex functions, by generalizing the concepts of M-and L-convexity due to Murota (Adv. Math. 124 (1996) 272) and (Math. Programming 83 (1998) 313). We investigate the structure of quasi Mand L-convex functions with res
## Abstract A total dominating function (TDF) of a graph __G__ = (__V, E__) is a function __f__: __V__ β [0, 1] such that for each __v__ Ο΅ V, Ξ£~uΟ΅N(v)~ f(u) β₯ 1 (where __N__(__v__) denotes the set of neighbors of vertex __v__). Convex combinations of TDFs are also TDFs. However, convex combinations
The concepts of M-convex and L-convex functions were proposed by Murota in 1996 as two mutually conjugate classes of discrete functions over integer lattice points. M/L-convex functions are deeply connected with the well-solvability in nonlinear combinatorial optimization with integer variables. In