000 nam a22 7a 4500
999 _c29368
_d29368
008 190220b xxu||||| |||| 00| 0 eng d
020 _a9781461431183
_c(pbk)
082 _a511​.5
_bLIX
100 _aLi, Xueliang
245 _aRainbow connections of graphs
260 _aNew York :
_bSpringer,
_c2012
300 _aviii, 103 p. :
_bill. ;
_c23.5 cm.
365 _aEURO
_b49.95
_d00
504 _aIncludes bibliographical references and index.
520 _aRainbow 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.
650 _aData display
650 _aMathematics
650 _aGraph theory
650 _aData structures
650 _aNumber theory
650 _aCryptology
650 _a Information theory
700 _aSun, Yuefang
942 _2ddc
_cBK