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M-convex functions and tree metrics

✍ 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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πŸ“œ SIMILAR VOLUMES


Quasi M-convex and L-convex functionsβ€”qu
✍ Kazuo Murota; Akiyoshi Shioura πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 298 KB

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

Total dominating functions in trees: Min
✍ E. J. Cockayne; C. M. Mynhardt; Bo Yu πŸ“‚ Article πŸ“… 1995 πŸ› John Wiley and Sons 🌐 English βš– 380 KB

## Abstract A total dominating function (TDF) of a graph __G__ = (__V, E__) is a function __f__: __V__ ← [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

Extension of M-Convexity and L-Convexity
✍ Kazuo Murota; Akiyoshi Shioura πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 454 KB

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