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\indexentry{graph!graceful}{4}
\indexentry{$\beta$-valuation}{4}
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\indexentry{book}{4}
\indexentry{graph!directed}{5}
\indexentry{tree}{6}
\indexentry{caterpillar}{6}
\indexentry{tree!symmetrical}{6}
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\indexentry{olive tree}{6}
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\indexentry{Skolem sequence}{6}
\indexentry{lobster}{6}
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\indexentry{wheel}{7}
\indexentry{$n$-cone}{7}
\indexentry{$n$-point suspension}{7}
\indexentry{helm}{7}
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\indexentry{flower}{7}
\indexentry{gear graph}{7}
\indexentry{graph!unicyclic}{7}
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\indexentry{graph!shell-type}{8}
\indexentry{shell}{8}
\indexentry{multiple shell}{8}
\indexentry{shell!multiple}{8}
\indexentry{unicyclic graph}{8}
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\indexentry{book}{9}
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\indexentry{cactus!triangular}{9}
\indexentry{snake}{9}
\indexentry{snake!$n$-polygonal}{10}
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\indexentry{ladder}{10}
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\indexentry{Mongolian tent}{10}
\indexentry{Mongolian village}{10}
\indexentry{Young tableau}{11}
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\indexentry{M\"{o}bius ladder}{11}
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\indexentry{book!stacked}{12}
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\indexentry{graph!complete}{12}
\indexentry{complete!graph}{12}
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\indexentry{disjoint union}{14}
\indexentry{Skolem sequence}{14}
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\indexentry{star}{15}
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\indexentry{vertex-saturated}{16}
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\indexentry{splitting graph}{18}
\indexentry{graph!splitting}{18}
\indexentry{total graph}{18}
\indexentry{graph!total}{18}
\indexentry{replicated graph}{18}
\indexentry{graph!replicated}{18}
\indexentry{stable set}{18}
\indexentry{$f$-permutation graph}{18}
\indexentry{graph!$f$-permutation}{18}
\indexentry{bigraceful graph}{18}
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\indexentry{Petersen graph}{18}
\indexentry{cube}{18}
\indexentry{icosahedron}{18}
\indexentry{dodecahedron}{18}
\indexentry{Heawood graph}{18}
\indexentry{Herschel graph}{18}
\indexentry{$\alpha$-labeling}{27}
\indexentry{labeling!balanced}{27}
\indexentry{labeling!interlaced}{27}
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\indexentry{$n$-cube}{27}
\indexentry{one-point union}{27}
\indexentry{snake!quadrilateral}{28}
\indexentry{chain graph}{28}
\indexentry{block-cutpoint}{28}
\indexentry{boundary value}{29}
\indexentry{critical number}{29}
\indexentry{$\alpha $-labeling!eventually}{29}
\indexentry{host graph}{29}
\indexentry{labeling number}{29}
\indexentry{weak tensor product}{29}
\indexentry{sequential join}{29}
\indexentry{pendant edge}{29}
\indexentry{bipartite labeling}{29}
\indexentry{labeling!bipartite}{29}
\indexentry{$\alpha$-size}{29}
\indexentry{gracesize}{30}
\indexentry{weakly $\alpha$-labeling}{30}
\indexentry{$\alpha $-labeling!weakly}{30}
\indexentry{strongly graceful labeling}{30}
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\indexentry{free $\alpha$-labeling}{30}
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\indexentry{gracious labeling}{31}
\indexentry{labeling!gracious}{31}
\indexentry{gracious  $k$-labeling}{31}
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\indexentry{near $\alpha$-labeling}{31}
\indexentry{$\alpha $-labeling!near}{31}
\indexentry{cyclic $G$-decomposition}{31}
\indexentry{decomposition}{31}
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\indexentry{edge-decomposition}{31}
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\indexentry{graph!arbitrarily graceful}{32}
\indexentry{grid}{32}
\indexentry{polyminoes}{32}
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\indexentry{Mongolian village}{32}
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\indexentry{perfect system of difference sets}{32}
\indexentry{subgraph}{32}
\indexentry{$(k,d)$-graceful labeling}{32}
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\indexentry{$T_p$-tree}{33}
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\indexentry{Skolem-graceful labelings}{33}
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\indexentry{star}{34}
\indexentry{graph!node-graceful}{34}
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\indexentry{graph!Skolem labeled}{34}
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\indexentry{labeling!odd graceful}{34}
\indexentry{$\alpha$-labeling}{35}
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\indexentry{lobster}{35}
\indexentry{banana tree}{35}
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\indexentry{decomposition}{35}
\indexentry{$\hat{\rho}$-labelings}{36}
\indexentry{nearly graceful labeling}{36}
\indexentry{labeling!nearly graceful}{36}
\indexentry{cycle}{36}
\indexentry{snake!triangular}{36}
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\indexentry{$kC_n$-snake}{36}
\indexentry{block-cutpoint}{36}
\indexentry{$kC_n$-snake!linear}{36}
\indexentry{$\rho$-valuation}{36}
\indexentry{cyclic decomposition}{36}
\indexentry{lobster}{36}
\indexentry{adjacency matrix}{36}
\indexentry{$\theta$-labeling}{37}
\indexentry{$\rho^+$-labeling}{37}
\indexentry{almost-bipartite graph}{37}
\indexentry{graph!almost-bipartite}{37}
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\indexentry{decomposition}{37}
\indexentry{spanning tree}{37}
\indexentry{pseudograceful labeling}{37}
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\indexentry{$\tilde{\rho}$-labelings}{38}
\indexentry{$\alpha$-labeling}{38}
\indexentry{$\alpha $-labeling!weakly}{38}
\indexentry{triangular graceful labeling}{38}
\indexentry{labeling!triangular graceful}{38}
\indexentry{unicyclic graph}{38}
\indexentry{graph!unicyclic}{38}
\indexentry{range-relaxed graceful labeling}{38}
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\indexentry{vertex-relaxed graceful labeling}{38}
\indexentry{labeling!vertex-relaxed graceful}{38}
\indexentry{one modulo three graceful labeling}{39}
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\indexentry{lobster}{39}
\indexentry{banana tree}{39}
\indexentry{ladder}{39}
\indexentry{snake!$n$-polygonal}{39}
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\indexentry{one-point union}{39}
\indexentry{fan}{39}
\indexentry{wheel}{39}
\indexentry{cactus!$k$-angular}{39}
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\indexentry{Petersen graph!generalized}{39}
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\indexentry{flag}{41}
\indexentry{root}{41}
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\indexentry{helm!closed}{41}
\indexentry{helm!generalized}{41}
\indexentry{sunflower}{41}
\indexentry{shell}{41}
\indexentry{graph!$t$-uniform homeomorph}{41}
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\indexentry{generalized!bundle}{42}
\indexentry{generalized!wheel}{42}
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\indexentry{$E_k$-cordial}{43}
\indexentry{graph!$E_k$-cordial}{43}
\indexentry{A-cordial graph}{43}
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\indexentry{shell graph}{43}
\indexentry{labeling!ramdomly cordial}{44}
\indexentry{labeling!friendly}{44}
\indexentry{labeling!randomly cordial}{44}
\indexentry{labeling!$k$-equitable}{44}
\indexentry{Eulerian graph}{44}
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\indexentry{M\"{o}bius ladder}{47}
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\indexentry{labeling!$(k,d)$-arithmetic}{48}
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\indexentry{labeling!strongly $k$-indexable}{49}
\indexentry{labeling!strongly indexable}{49}
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\indexentry{level joined planar grid}{49}
\indexentry{elegant labeling}{50}
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\indexentry{graph!H-harmonious}{51}
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\indexentry{labeling!felicitous}{51}
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\indexentry{wreath product}{52}
\indexentry{graph!strongly felicitous}{52}
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\indexentry{graph!strongly $c$-elegant}{52}
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\indexentry{graph!semi-magic}{53}
\indexentry{labeling!magic}{53}
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\indexentry{wheel}{53}
\indexentry{M\"{o}bius ladder}{54}
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\indexentry{labeling!magic}{54}
\indexentry{magic strength}{54}
\indexentry{strength!magic}{54}
\indexentry{edge magic strength}{55}
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\indexentry{labeling!edge-magic total}{59}
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\indexentry{tree}{59}
\indexentry{wheel}{59}
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\indexentry{tree}{59}
\indexentry{graph!countable infinite}{59}
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\indexentry{tree!binary}{60}
\indexentry{Petersen graph!generalized}{60}
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\indexentry{strength!maximum magic}{60}
\indexentry{graph!strong magic}{60}
\indexentry{graph!ideal magic}{60}
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\indexentry{labeling!totally magic}{72}
\indexentry{graph!totally magic}{72}
\indexentry{labeling!1-vertex magic vertex}{75}
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\indexentry{labeling!magic!consecutive}{76}
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\indexentry{Platonic family}{76}
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\indexentry{ladder}{76}
\indexentry{planar bipyramid}{76}
\indexentry{hexagonal lattice}{76}
\indexentry{M\"{o}bius ladder}{76}
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\indexentry{labeling!magic!of type (1,0,0)}{76}
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\indexentry{honeycomb graph}{81}
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\indexentry{edge reduced!integral sum number}{90}
\indexentry{graph!$g$-graph}{90}
\indexentry{mod sum graph}{90}
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\indexentry{tree}{90}
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\indexentry{mod sum number}{91}
\indexentry{sum* graph}{91}
\indexentry{$sum^*$ number}{91}
\indexentry{incidental}{91}
\indexentry{mod sum* graph}{91}
\indexentry{mod sum* number}{91}
\indexentry{prime labeling}{93}
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\indexentry{flower}{93}
\indexentry{$(m,n)$-gon star}{93}
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\indexentry{book}{94}
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\indexentry{graph!line-graceful}{97}
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\indexentry{labeling!average}{100}
\indexentry{labeling!nontrivial}{100}
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\indexentry{divisor graph}{100}
\indexentry{graph!divisor}{100}
\indexentry{graph!strongly multiplicative}{101}
\indexentry{strongly $\star$-graph}{101}
\indexentry{sigma labeling}{101}
\indexentry{labeling!sigma}{101}
\indexentry{graph!set graceful}{102}
\indexentry{graph!set sequential}{102}
