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$ A$ student proposes to omit the sending of $\langle$ nys, $w\rangle$ messages from Algorithm 4.6; he argues that a node knows that a neighbor is not a son in $T_w$ if no $\langle\mathbf{y s}, w\rangle$ message is received from that neighbor. Is it possible to modify the algorithm in this way? What happens to the complexity of the algorithm?

   $ A$ student proposes to omit the sending of $\langle$ nys, $w\rangle$ messages from Algorithm 4.6; he argues that a node knows that a neighbor is not a son in $T_w$ if no $\langle\mathbf{y s}, w\rangle$ message is received from that neighbor.
Is it possible to modify the algorithm in this way? What happens to the complexity of the algorithm?

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Introduction to Distributed Algorithms

Introduction to Distributed Algorithms

Gerard Tel 1st Edition

Chapter 4, Problem 2

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6, the purpose of sending the $\langle\mathbf{y s}, w\rangle$ messages is to inform a node $w$ that its neighbor $s$ is a son in the tree $T_w$. This information is crucial for $w$ to determine its own status as a leaf or an internal node. If we omit sending these Show more…

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$ A$ student proposes to omit the sending of $\langle$ nys, $w\rangle$ messages from Algorithm 4.6; he argues that a node knows that a neighbor is not a son in $T_w$ if no $\langle\mathbf{y s}, w\rangle$ message is received from that neighbor. Is it possible to modify the algorithm in this way? What happens to the complexity of the algorithm?

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