We construct new upper bounds on the broadcast function B (n), the number of edges in a
minimum broadcast graph on n vertices, for a large class of integers n. The bounds are …

Broadcasting is a basic problem of communication in usual networks. Many papers have
investigated the construction of minimum broadcast networks, the cheapest possible …

A broadcast graph is a connected graph, G=(V, E),| V|= n, in which each vertex can complete
broadcasting of one message within at most t=⌈ log n⌉ time units. A minimum broadcast …

Broadcasting is an information dissemination problem in a connected graph in which one
vertex, called the originator, must distribute a message to all other vertices by placing a …

Broadcasting is an information disseminating process of distributing a message from an
originator vertex v of graph G=(V, E) G=(V, E) to all of its vertices. The broadcast time of …

Abstract c‐Broadcasting is a special process to disseminate a single message, originated at
any node in a network, to all other nodes of the network by letting each informed node …

This paper shows that B (24)≥ 35 and B (25)≥ 38. The previous best lower bounds were B
(24)≥ 27 and B (25)≥ 29. The new lower bounds and the known upper bounds show that B …

The broadcast model is widely used to describe the process of information dissemination
from a single node to all nodes within an interconnected network. In this model, a graph …

Gossiping refers to the following task: In a group of individuals connected by a
communication network, every node has a piece of information and needs to transmit it to all …

This paper studies the broadcast function B (n). We consider the possible vertex degrees
and possible connections between vertices of different degrees in graphs with …