LEADER 01222nam2-2200385li-450 001 990000240060203316 005 20180312154658.0 010 $a3-519-02109-9 035 $a0024006 035 $aUSA010024006 035 $a(ALEPH)000024006USA01 035 $a0024006 100 $a2001990051988-------y0itay0103----ba 101 0 $aeng 102 $aGW 200 1 $aCombinatorial search$fMartin Aigner 210 $aStuttgart$cTeubner ; Chichester [etc.]$cJohn Wiley & Sons$dcopyr. 1988 215 $a368 p.$cill.$d24 cm 225 2 $aWiley-Teubner series in computer science$v0 410 0$10010024007$12001$aWiley-Teubner series in computer science 610 1 $aanalisi combinatoria 676 $a5116$9Analisi combinatoria 700 1$aAigner,$bMartin$0281930 801 $aSistema bibliotecario di Ateneo dell' Universitā di Salerno$gRICA 912 $a990000240060203316 951 $a511.6 AIG$b11710/CBS$c511.5 959 $aBK 969 $aSCI 979 $c19900504 979 $c20001110$lUSA01$h1715 979 $c20020403$lUSA01$h1632 979 $aPATRY$b90$c20040406$lUSA01$h1617 979 $aRSIAV6$b90$c20090429$lUSA01$h1335 996 $aCombinatorial search$91489168 997 $aUNISA LEADER 04067nam 22007215 450 001 9911007455903321 005 20260209144015.0 010 $a3-031-74252-4 024 7 $a10.1007/978-3-031-74252-1 035 $a(CKB)39124536300041 035 $a(DE-He213)978-3-031-74252-1 035 $a(MiAaPQ)EBC32145189 035 $a(Au-PeEL)EBL32145189 035 $a(OCoLC)1522508967 035 $a(EXLCZ)9939124536300041 100 $a20250531d2025 u| 0 101 0 $aeng 135 $aur||||||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aTopics in Combinatorics and Graph Theory /$fby R. Rama 205 $a1st ed. 2025. 210 1$aCham :$cSpringer Nature Switzerland :$cImprint: Springer,$d2025. 215 $a1 online resource (X, 454 p. 257 illus., 1 illus. in color.) 225 0 $aMathematics and Statistics Series 311 08$a3-031-74251-6 327 $aBasics of Counting -- Induction and Pigeon Hole Principle -- Binomial Theorem and Binomial Identities Partitions -- Permutations -- Combinations and Cycles -- Generating Functions -- Recurrence Relations -- Inclusion Exclusion Principle -- Partial Order and Lattices -- Polya?s Theory -- More on Counting -- Discrete Probability -- Basic Concepts -- Paths Connectedness -- Trees -- Connectivity -- Eulerian and Hamiltonian Graphs -- Planar Graphs -- Independent Sets -- Coverings and Matchings -- Graph Coloring -- Ramsey Numbers and Ramsey Graphs -- Spectral Properties of Graphs -- Directed Graphs and Graph Algorithms. 330 $aThe book covers all the basics of both the topics. The topics are sequenced in such a manner that there is a flow in understanding the advances. The first and second chapters cover all the basic methods and tools for counting. Chapter 3 is on binomial theorem and binomial identities. Topics such as partitions, permutations on multisets, generating functions, recurrence relation, principle of inclusion exclusion, repeated counting, partially ordered sets and Mobius inversion, Polya's counting are covered in different chapters. Some basic chapters have some worked-out exercise. Information on Catalan numbers, Eulerian Numbers, Narayana Numbers, and Schroder Number are given in a chapter. The topic on "discrete probability" covers the connection between counting techniques and probability theory. There second part of the book covers topics in graph theory such as basics of graphs, trees,bipartite graphs, matching , planar graphs, Euler and Hamilton graphs, graph coloring, Ramsey theory, spectral properties, and some graph algorithms.Adequate exercise and examples are provided so as to enhance the reader's interest and understanding. Some interesting concepts like high hamiltonicity, power of graphs, domination, and matrix tree theorem are introduced. 606 $aGraph theory 606 $aDiscrete mathematics 606 $aProbabilities 606 $aGraph Theory 606 $aDiscrete Mathematics 606 $aProbability Theory 606 $aGraph Theory in Probability 606 $aAnālisi combinatōria$2thub 606 $aMatemātica discreta$2thub 606 $aTeoria de grafs$2thub 606 $aProbabilitats$2thub 606 $aProcessos estocāstics$2thub 608 $aLlibres electrōnics$2thub 615 0$aGraph theory. 615 0$aDiscrete mathematics. 615 0$aProbabilities. 615 14$aGraph Theory. 615 24$aDiscrete Mathematics. 615 24$aProbability Theory. 615 24$aGraph Theory in Probability. 615 7$aAnālisi combinatōria 615 7$aMatemātica discreta 615 7$aTeoria de grafs 615 7$aProbabilitats 615 7$aProcessos estocāstics 676 $a511.5 700 $aRama$b R$4aut$4http://id.loc.gov/vocabulary/relators/aut$01823253 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9911007455903321 996 $aTopics in Combinatorics and Graph Theory$94389816 997 $aUNINA