Rainbow connections are natural combinatorial measures that are
used in applications to secure the transfer of classified
information between agencies incommunication networks. "Rainbow
Connections of Graphs" covers this new and emerging topicin graph
theory and brings together a majority of the results that deal with
the concept of rainbow connections, first introduced by Chartrand
et al. in 2006.
The authors begin with an introduction to rainbow connectedness,
rainbow coloring, and rainbow connection number. The work is
organized into the followingcategories, computation of the exact
valuesof the rainbow connection numbers for some special graphs,
algorithms and complexity analysis, upper bounds in terms of other
graph parameters, rainbow connection for dense and sparse graphs,
for some graph classes andgraph products, rainbow k-connectivity
and k-rainbow index, and, rainbow vertex-connection number.
"Rainbow Connections of Graphs" appeals to researchers and graduate
students in the field of graph theory. Conjectures, open problems
and questions are given throughout the text with the hope for
motivating young graph theorists and graduate students to do
further study in this subject.
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