### Simple 3-polytopal graphs with edges of only two types and shortness coefficients

Michal Tkáč (1992)

Mathematica Slovaca

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Michal Tkáč (1992)

Mathematica Slovaca

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San Ming Zhou (1996)

Czechoslovak Mathematical Journal

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Dănuţ Marcu (1994)

Mathematica Bohemica

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In this paper we characterize $k$-chromatic graphs without isolated vertices and connected $k$-chromatic graphs having a minimal number of edges.

Yair Caro, Juan Rojas, Sergio Ruiz (1996)

Czechoslovak Mathematical Journal

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Ivan Hlaváček (1994)

Applications of Mathematics

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Unilateral deflection problem of a clamped plate above a rigid inner obstacle is considered. The variable thickness of the plate is to be optimized to reach minimal weight under some constraints for maximal stresses. Since the constraints are expressed in terms of the bending moments only, Herrmann-Hellan finite element scheme is employed. The existence of an optimal thickness is proved and some convergence analysis for approximate penalized optimal design problem is presented. ...