Hamilton graph

Hamilton graph (p. 879) travelling salesman problem (p. 879) NP-hard problem (p. 879)... 

A marker substance is injected into a central vein. A peripheral arterial line is used to measure the amount of the substance in the arterial system. A graph of concentration versus time is produced and patented algorithms based on the Stewart-Hamilton equation (below) are used to calculate the cardiac output. 

FIGURE 6 4C. Graph showing that nimodipine (NIMOD) alleviates depressive symptoms as determined by two different scales [Hamilton Rating Scale for Depression [M. Hamilton 1960] and Beck Depression Inventory [Beck et al. 1961]) in a single patient. The number in each bar is the number of days during that phase of the study that were included in data analyses. FLAG = placebo ... 

GrTu87] J.L. Gross amd T. W. Tucker, Ibpological Graph Theory, Hamilton, 1987. 

FIGURE 7.11 Excess Rayleigh scattering intensities of a polyacrylamide from (a) MALLSP and (b) LALLSP. [Graphs reconstructed from data by Wyeth Corp. and Kim, Ph.D. dissertation, McMaster University, Hamilton, Ontario, 1984.]... 

FIGURE 7.16 Stationary-state condition of free-radical concentration. (60% styrene, 0.1% AIBN, and 65°C). [Graph reconstructed from A. Hamielec, Polymer Reaction Engineering An Intensive Short Course on Polymer Production Technology, McMaster University, Hamilton, Ontario, 1980.]... 

A cycle containing all vertices of a graph is referred to as a Hamilton cycle. 

Fig. 15.18. A graph of rplane flights. Is the graph of the Hamilton type This was a mathematical question for the molecular computer, (a) The graph from the Adleman s experiment (b) a simplified graph described in this book.

Hamilton, A. I. 1969. Cell population kinetics A modified interpretation of the graph of labeled mitosis. Science, 164 952-954. 

R. Chen and F. Zhang, Hamilton paths in Z-transformation graphs of perfect matching of hexagonal systems. Discrete Appl. Math. 74 (1997) 191-196. 

In the middle of the 19th century, the famous four color problem , originating with Francis Guthrie29° (1790—1868), appeared and has continued to challenge mathematicians for over 150 years. Another challenging problem in which a path is sought that visits every vertex of a graph was put forth by W. R. Hamilton.290 932,933 difficult problem, also known... 

---