# All Questions

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### Calculate minimal number of nodes? [on hold]

Calculate minimal number of nodes? in a loopless simple undirected pi-partite graph. that has exacatly 144 nodes
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### Directed and undriected trees [on hold]

How many different directed trees can be obtained if we assign all possible orientation to the edges of an undirected tree having exactly 7 nodes? how many of them will be rooted(directed) trees?
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### Can you give me an example of signed distance function [on hold]

Can you give me an example of signed distance function？ Thank you！
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### Determine number of directed trees and rooted trees obtainable

I've been doing some exercices about graph theory and I find myself stuck on this one with no idea of to proceed. Here's the question : how many different directed trees can be obtained if we assign ...
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### About the proof of the Morse lemma

In the Chang's book "Infinite dimensional Morse theory and multiple solution problems" the Morse lemma is a special case of the spliting lemma but i dont understand in the proof why ...
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### Linear Programm with matrix

Is there a name for problems like this min norm(Cx) Ax = b where C is a matrix and norm is the maximum norm. This is kind of like a linear Programm. Could this be rewritten as linear programm? Or Any ...
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### How to define the distributional Hessian for a convex function on a $C^0$ Riemannian manifold?

M is a $C^1$ manifold with a $C^0$ Riemannian metric, f is a convex function on M. How to define a functional on M which can represent $Hessf$? For example: for $\Delta f$ we can define the ...