31. A clique in the complement of the line graph of " G " is just a matching in " G ". 32. Therefore, K�nig's theorem itself can also be interpreted as stating that the complements of line graphs of bipartite graphs are perfect. 33. One can also connect K�nig's Line Coloring Theorem to a different class of perfect graphs, the line graphs of bipartite graphs. 34. In this respect the graph itself is somewhat misleading : it takes annual summary data and plots as a line graph . 35. Wikipedia currently does not have graph making software installed ( i . e . line graphs , bar graphs, and so on ). 36. From a stackof papers on his desk, he fishes out a transparency of a line graph takenfrom the Finance Ministry's Economic Report. 37. The following figures show a graph ( left, with blue vertices ) and its line graph ( right, with green vertices ). 38. Each vertex of the line graph is shown labeled with the pair of endpoints of the corresponding edge in the original graph. 39. For connected graphs that are not paths, all sufficiently high numbers of iteration of the line graph operation produce graphs that are Hamiltonian. 40. Dury used a line graph and a logarithmic scale, plotting the discharge along the x-axis and the other stream variables along the y-axis.