Circular Flow and Circular Chromatic Number in the Matroid Context
... Eulerian. We also show that a regular matroid is hex-Eulerian if and only if it admits a nowhere-zero 3-flow. We include an extension of Tutte’s chain groups, which characterize regular matroids, to what we term hex-chain modules which describe ...
... Eulerian. We also show that a regular matroid is hex-Eulerian if and only if it admits a nowhere-zero 3-flow. We include an extension of Tutte’s chain groups, which characterize regular matroids, to what we term hex-chain modules which describe ...
1.1. RELATIONS Defining relations as sets of ordered pairs
... is positive” provides the all necessary information. We can easily decide if 5 is related to 7 or if 0.5 related to 0.35. We have 5 − 7 = −2 which is negative so 5 is not related to 7. In the similar way we can decide that 0.5 is related to 0.35 because 0.5 − 0.35 = 0.15 is positive. Let us also poi ...
... is positive” provides the all necessary information. We can easily decide if 5 is related to 7 or if 0.5 related to 0.35. We have 5 − 7 = −2 which is negative so 5 is not related to 7. In the similar way we can decide that 0.5 is related to 0.35 because 0.5 − 0.35 = 0.15 is positive. Let us also poi ...
Arithmetic Progressions
... (c) The balance money ( in ` ) after paying 5 % of the total loan of ` 1000 every month is 950, 900, 850, 800, . . ., 50. (d) The cash prizes ( in ` ) given by a school to the toppers of Classes I to XII are, respectively, 200, 250, 300, 350, . . ., 750. (e) The total savings (in ` ) after every mon ...
... (c) The balance money ( in ` ) after paying 5 % of the total loan of ` 1000 every month is 950, 900, 850, 800, . . ., 50. (d) The cash prizes ( in ` ) given by a school to the toppers of Classes I to XII are, respectively, 200, 250, 300, 350, . . ., 750. (e) The total savings (in ` ) after every mon ...
