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Physical Sciences and Mathematics Commons

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Western Michigan University

Dissertations

1989

Articles 1 - 5 of 5

Full-Text Articles in Physical Sciences and Mathematics

The Chromatic Sum And Efficient Tree Algorithms, Ewa Kubicka Aug 1989

The Chromatic Sum And Efficient Tree Algorithms, Ewa Kubicka

Dissertations

In Chapter I this concept is introduced. It is shown that computing the chromatic sum is NP-complete. For every natural k the smallest tree which needs k colors to attain its chromatic sum is constructed. It is demonstrated that asymptotically, for each k, almost all trees require more than k colors to achieve their chromatic sums. Also a linear algorithm for a single tree is presented.

In Chapter II three constructions of graphs that require t colors beyond their chromatic number k to achieve their chromatic sum are presented, depending on the ratio ${\rm t}\over{\rm k}$. The order of the …


Measures Of Partial Association Based On Rank Estimates, Sudhakar H. Rao Aug 1989

Measures Of Partial Association Based On Rank Estimates, Sudhakar H. Rao

Dissertations

No abstract provided.


Greatest Common Subgraphs, Grzegorz Kubicki Aug 1989

Greatest Common Subgraphs, Grzegorz Kubicki

Dissertations

No abstract provided.


Coefficients Of Multiple Determination Based On Rank Estimates, Lee D. Witt Apr 1989

Coefficients Of Multiple Determination Based On Rank Estimates, Lee D. Witt

Dissertations

No abstract provided.


Specified Subgraphs And Subgraph-Defined Parameters In Graphs, Karen S. Holbert Apr 1989

Specified Subgraphs And Subgraph-Defined Parameters In Graphs, Karen S. Holbert

Dissertations

No abstract provided.