000			03179nam a22004815i 4500
001			978-1-4614-6525-6
003			DE-He213
005			20140220082825.0
007			cr nn 008mamaa
008			130427s2013 xxu| s |||| 0|eng d
020			_a9781461465256 _9978-1-4614-6525-6
024	7		_a10.1007/978-1-4614-6525-6 _2doi
050		4	_aQA166-166.247
072		7	_aPBV _2bicssc
072		7	_aMAT013000 _2bisacsh
082	0	4	_a511.5 _223
100	1		_aHenning, Michael A. _eauthor.
245	1	0	_aTotal Domination in Graphs _h[electronic resource] / _cby Michael A. Henning, Anders Yeo.
264		1	_aNew York, NY : _bSpringer New York : _bImprint: Springer, _c2013.
300			_aXIV, 178 p. 70 illus. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aSpringer Monographs in Mathematics, _x1439-7382
505	0		_a1. Introduction -- 2. Properties of Total Dominating Sets and General Bounds -- 3. Complexity and Algorithmic Results -- 4.Total Domination in Trees -- 5.Total Domination and Minimum Degree -- 6. Total Domination in Planar Graphs -- 7. Total Domination and Forbidden Cycles -- 8. Relating the Size and Total Domination Number -- 9. Total Domination in Claw-Free Graphs -- 10. Total Domination Number versus Matching Number -- 11. Total Domination Critical Graphs -- 12. Total Domination and Graph Products -- 13. Graphs with Disjoint Total Dominating Sets -- 14. Total Domination in Graphs with Diameter Two -- 15. Nordhaus-Gaddum Bounds for Total Domination -- 16. Upper Total Domination -- 17.Variations of Total Domination -- 18. Conjectures and Open Problems -- Index.
520			_aTotal Domination in Graphs gives a clear understanding  of this topic to any interested reader who has a modest background in graph theory. This book provides and explores the fundamentals of total domination in graphs. Some of the topics featured include the interplay between total domination in graphs and transversals in hypergraphs, and the association with total domination in graphs and diameter-2-critical graphs. Several proofs are included in this text which enables readers to acquaint themselves with a toolbox of proof techniques and ideas with which to attack open problems in the field. This work is  an excellent resource for students interested in beginning their research in this field.  Additionally, established researchers will find the book valuable to have as it contains the latest developments and open problems.
650		0	_aMathematics.
650		0	_aGlobal analysis (Mathematics).
650		0	_aNumber theory.
650	1	4	_aMathematics.
650	2	4	_aGraph Theory.
650	2	4	_aAnalysis.
650	2	4	_aNumber Theory.
700	1		_aYeo, Anders. _eauthor.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9781461465249
830		0	_aSpringer Monographs in Mathematics, _x1439-7382
856	4	0	_uhttp://dx.doi.org/10.1007/978-1-4614-6525-6
912			_aZDB-2-SMA
999			_c95692 _d95692