Question

Theorem 2 There is a distribution of currents satisfying Ohm's law and Kirch-hoff's laws in which a current of size 1 enters at s and leaves at t. The value of the current in an edge ab is given by \{N^(s, a, b, t) - N^(s, b, a, t)\}/N^*.

Name: Theorem 2 There is a distribution of currents satisfying Ohm's law and Kirch-hoff's laws in which a current of size 1 enters at s and leaves at t. The value of the current in an edge ab is given by {N^*(s, a, b, t) - N^*(s, b, a, t)}/N^*.
Uploaded: 2022-02-28T20:51:41-08:00
Duration: 3 min 4 s
Channel: Punam Devi
Description: Theorem 2 There is a distribution of currents satisfying Ohm's law and Kirch-hoff's laws in which a current of size 1 enters at s and leaves at t. The value of the current in an edge ab is given by {N^*(s, a, b, t) - N^*(s, b, a, t)}/N^*.

          Theorem 2 There is a distribution of currents satisfying Ohm's law and Kirch-hoff's laws in which a current of size 1 enters at s and leaves at t. The value of the current in an edge ab is given by \{N^*(s, a, b, t) - N^*(s, b, a, t)\}/N^*.

$Theorem 2 There is a distribution of currents satisfying Ohm's law and Kirch-hoff's laws in which a current of size 1 enters at s and leaves at t. The value of the current in an edge ab is given by {N^*(s, a, b, t) - N^*(s, b, a, t)}/N^*.$

Added by Kylie S.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Punam Devi

02/28/2022

Step 1

- Kirchhoff's laws are the conservation of charge and energy principles in electrical circuits. - N*(s, a, b, t) represents the number of paths from s to a to b to t. - N*(s, b, a, t) represents the number of paths from s to b to a to t. - N* represents the total Show more…

Show all steps

Thanks for your feedback!

Theorem 2: There is a distribution of currents satisfying Ohm's law and Kirchhoff's laws in which a current of size 1 enters at s and leaves at t. The value of the current in an edge ab is given by (N*(s, a, b, t) - N*(s, b, a, t))/N*. Prove that the above theorem is true. This problem is from Modern Graph Theory by Bollobas.