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On (m, n)-convexity

✍ Scribed by K»re Villanger


Book ID
104653228
Publisher
Springer
Year
1978
Tongue
English
Weight
431 KB
Volume
7
Category
Article
ISSN
0046-5755

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✦ Synopsis


KJ~RE VILLANGER

ON (m, n)-CONVEXITY* AeSTRAC'r. Some properties concerning (m, n)-convexity and strict (m, n)-convexity are discussed. If S c E', m >~ 2, and l <-.. n , ( 2 ), then S is strictly (m, n)-convex iff S is

o on o oo lm/3](m -(3/2)([m/3] + 1))<n ~< (m~.


📜 SIMILAR VOLUMES


On (n, m)-Convex Sets
✍ Yu. B. Zelinskii; I. V. Momot 📂 Article 📅 2001 🏛 Springer 🌐 English ⚖ 101 KB
Strict convexity in M-spaces
✍ Raymond Freese; Grattan Murphy; Edward Andalafte 📂 Article 📅 1989 🏛 Springer 🌐 English ⚖ 514 KB
Extension of M-Convexity and L-Convexity
✍ Kazuo Murota; Akiyoshi Shioura 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 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