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Results tagged with combinatorial-optimization
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user 153397
Combinatorial optimization typically deals with optimizing over a finite set of objects that have some combinatorial structure (e.g. trees, matchings, matroids). Approximation algorithms, polyhedral methods, and integer programming are all on topic.
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Upperbound on Shannon capacity of graph and strong product of graph
Given a Graph $G = (V=[n],E)$, if a symmetric matrix $B$ fits $G$, it has non-zero diagonal elements and 0 on off-diagonal entries if $\{i,j\}$ are non-edge in $G$.
Let \begin{equation}
R(G) = \min Ra …
- 33
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Eigenvalues of adjacency matrix of a k-regular graph
If $A_G$ is the adjacency matrix of a k-regular graph, let $B = J+xA_G$, where J is the matrix whose elements are all 1s and $x\in R$ is a scalar. If $\lambda_1\geq\lambda_2\geq \dots \geq \lambda_n$ …
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