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LEADER: 06753cam 2200925Ka 4500
001 ocn839305401
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005 20200107001424.0
008 130415s1981 enka ob 100 0 eng d
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050 4 $aQA164$b.B74 1981eb
072 7 $aMAT$x036000$2bisacsh
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111 2 $aBritish Combinatorial Conference$n(8th :$d1981 :$cUniversity College, Swansea)
245 10 $aCombinatorics :$bproceedings of the Eighth British Combinatorial Conference, University College, Swansea, 1981 /$cedited by H.N.V. Temperley.
260 $aCambridge [Cambridgeshire] ;$aNew York :$bCambridge University Press,$c1981.
300 $a1 online resource (198 pages) :$billustrations.
336 $atext$btxt$2rdacontent
337 $acomputer$bc$2rdamedia
338 $aonline resource$bcr$2rdacarrier
490 1 $aLondon Mathematical Society lecture note series,$x0076-0552 ;$v52
504 $aIncludes bibliographical references.
588 0 $aPrint version record.
520 $aThe articles collected here are the texts of the invited lectures given at the Eighth British Combinatorial Conference held at University College, Swansea. The contributions reflect the scope and breadth of application of combinatorics, and are up-to-date reviews by mathematicians engaged in current research. This volume will be of use to all those interested in combinatorial ideas, whether they be mathematicians, scientists or engineers concerned with the growing number of applications.
505 0 $aCover; Title; Copyright; Contents; Preface; 1. Resonance and reconstruction; SUMMARY; 1. INTERACTION MODELS; 2. THE ALGEBRA OF GRAPH TYPES; 3. RECONSTRUCTION; 4. PARTITION FUNCTIONS FOR INFINITE GRAPHS; REFERENCES; 2. Symmetry conditions in graphs; INTRODUCTION; EXAMPLE I; EXAMPLES IIA; EXAMPLE IIB; EXAMPLES IIC; EXAMPLES III; REFERENCES; 3. Extremal hypergraph problems; II. A CLASSICAL RESULT; III. RECENT RESULTS; IV. SOME OPEN QUESTIONS; REFERENCES; 4. Connectivity and edge-connectivity infinite graphs; I LOCAL CONNECTIVITY; II GLOBAL CONNECTIVITY
505 8 $aIll CERTAIN CONFIGURATIONS IN n-CONNECTED GRAPHSIV EXTREMAL CONNECTIVITY PROBLEMS; REFERENCES; 5. Partition theory and its application; 1 Introduction; 2 Sample results; 3 Applications to category theory; 4 Applications to logic; 5 Applications to ultrafilters; 6 Applications to algebra; 7 Applications to partitions of integers; 8 Selective theorems; 9 Remarks on infinite sets and topological spaces; 10 Concluding remarks; References; 6. Strongly regular graphs; 1. INTRODUCTION; 2. DEFINITIONS; 3. ADJACENCY MATRICES; 4. ARITHMETIC; 5. THE ADJACENCY ALGEBRA; 6. THE ABSOLUTE BOUND
505 8 $a7. EXTREMAL STRONGLY REGULAR GRAPHS8. SWITCHING; 9. TWO EXAMPLES; REFERENCES; 7. Geometries in finite projective and affine spaces; 1. SOME INTERESTING FINITE GEOMETRIES; 2. EMBEDDING IN FINITE PROJECTIVE SPACES; 3. EMBEDDING IN FINITE AFFINE SPACES; REFERENCES; 8. Long cycles in digraphs with constraints on the degrees; INTRODUCTION; TERMINOLOGY; LONG CYCLES IN DIGRAPHS; REFERENCES; 9. Colouring problems and matroids; 1. INTRODUCTION; 2. TUTTE-GROTHENDIECK INVARIANTS; 3. THE FLOW POLYNOMIAL; 4. THE COLOURING PROBLEM AND PROJECTIVE GEOMETRY; 5. SEYMOUR'S THEORY OF SPLITTERS
505 8 $a7. CONCLUSIONS: SOME OPEN PROBLEMSREFERENCES; Index
546 $aEnglish.
650 0 $aCombinatorial analysis$vCongresses.
650 6 $aAnalyse combinatoire$vCongre s.
650 7 $aMATHEMATICS$xCombinatorics.$2bisacsh
650 7 $aCombinatorial analysis.$2fast$0(OCoLC)fst00868961
655 7 $aConference proceedings.$2fast
655 7 $aConference papers and proceedings.$2fast$0(OCoLC)fst01423772
655 4 $aElectronic books.
655 0 $aElectronic books.
700 1 $aTemperley, H. N. V.
776 08 $iPrint version:$aBritish Combinatorial Conference (8th : 1981 : University College, Swansea).$tCombinatorics.$dCambridge [Cambridgeshire] ; New York : Cambridge University Press, 1981$z0521285143$w(DLC) 81010007$w(OCoLC)7577986
830 0 $aLondon Mathematical Society lecture note series ;$v52.$x0076-0552
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