000 | 02838nam a22004817a 4500 | ||
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001 | sulb-eb0022951 | ||
003 | BD-SySUS | ||
005 | 20160413122327.0 | ||
007 | cr nn 008mamaa | ||
008 | 130906s2013 xxu| s |||| 0|eng d | ||
020 |
_a9781461486992 _9978-1-4614-8699-2 |
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024 | 7 |
_a10.1007/978-1-4614-8699-2 _2doi |
|
050 | 4 | _aQA166-166.247 | |
072 | 7 |
_aPBV _2bicssc |
|
072 | 7 |
_aMAT013000 _2bisacsh |
|
082 | 0 | 4 |
_a511.5 _223 |
100 | 1 |
_aPelayo, Ignacio M. _eauthor. |
|
245 | 1 | 0 |
_aGeodesic Convexity in Graphs _h[electronic resource] / _cby Ignacio M. Pelayo. |
264 | 1 |
_aNew York, NY : _bSpringer New York : _bImprint: Springer, _c2013. |
|
300 |
_aVIII, 112 p. 41 illus. _bonline resource. |
||
336 |
_atext _btxt _2rdacontent |
||
337 |
_acomputer _bc _2rdamedia |
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338 |
_aonline resource _bcr _2rdacarrier |
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347 |
_atext file _bPDF _2rda |
||
490 | 1 |
_aSpringerBriefs in Mathematics, _x2191-8198 |
|
520 | _aGeodesic Convexity in Graphs is devoted to the study of the geodesic convexity on finite, simple, connected graphs. The first chapter includes the main definitions and results on graph theory, metric graph theory and graph path convexities. The following chapters focus exclusively on the geodesic convexity, including motivation and background, specific definitions, discussion and examples, results, proofs, exercises and open problems. The main and most st udied parameters involving geodesic convexity in graphs are both the geodetic and the hull number which are defined as the cardinality of minimum geodetic and hull set, respectively. This text reviews various results, obtained during the last one and a half decade, relating these two invariants and some others such as convexity number, Steiner number, geodetic iteration number, Helly number, and Caratheodory number to a wide range a contexts, including products, boundary-type vertex sets, and perfect graph families. This monograph can serve as a supplement to a half-semester graduate course in geodesic convexity but is primarily a guide for postgraduates and researchers interested in topics related to metric graph theory and graph convexity theory. . | ||
650 | 0 | _aMathematics. | |
650 | 0 | _aPartial differential equations. | |
650 | 0 | _aDifferential geometry. | |
650 | 0 | _aGraph theory. | |
650 | 1 | 4 | _aMathematics. |
650 | 2 | 4 | _aGraph Theory. |
650 | 2 | 4 | _aDifferential Geometry. |
650 | 2 | 4 | _aPartial Differential Equations. |
710 | 2 | _aSpringerLink (Online service) | |
773 | 0 | _tSpringer eBooks | |
776 | 0 | 8 |
_iPrinted edition: _z9781461486985 |
830 | 0 |
_aSpringerBriefs in Mathematics, _x2191-8198 |
|
856 | 4 | 0 | _uhttp://dx.doi.org/10.1007/978-1-4614-8699-2 |
912 | _aZDB-2-SMA | ||
942 |
_2Dewey Decimal Classification _ceBooks |
||
999 |
_c45043 _d45043 |