+ All Categories
Home > Documents > REFERENCESshodhganga.inflibnet.ac.in/bitstream/10603/97325/12/12_bibliography.pdf · REFERENCES...

REFERENCESshodhganga.inflibnet.ac.in/bitstream/10603/97325/12/12_bibliography.pdf · REFERENCES...

Date post: 19-Oct-2020
Category:
Upload: others
View: 0 times
Download: 0 times
Share this document with a friend
10
REFERENCES [1). Abraham. J, Extensions of graceful valuations of 2-regular bipartite graphs, Congress numerantium 84 (1991) pp. 51 - 59. [2). Abraham. J, and Kotzig. A. , All 2-regular graphs consisting of 4 cycles are graceful, Discrete maths 135 (1994) 1-14. [3). Acharya. B.D. and Gill. M.K. On the index of gracefulness of a graph and the gracefulness of two dimensional square lattice graphs, Indian.J. Maths; 23 (1981) 81 - 94. [4). Acharya. B.D., On d-sequential graphs, journal. Math.Phy.Sci.17 (1983) 21 - 35. [5). Acharya.B.D., Are a/l polynomials arbitrarily graceful, proce.first south east Asian Graph Theory Colloquium, Ed.Koh. K.M. and Yap. H.P, Springer Verlag, New York (1984) 205 - 211. [6). Acharya B.D. and Hegde S.M. Further results on k-sequential graphs Nat. Acad. Sci. Lett., 8 (1995) 119 - 122. [7). Acharya.B.D and Hegde. S. M. Set Sequential graphs, Nat- Acad.Scie.Lett 8 (1985) 387 - 390. [8). Acharya. B.D and Hegde S.M, Arithmetic graphs, Jour. Graph theory, 14 (3) (1989) 275 - 299. [9]. Acharya. B.D. and Hegde S.M. Strongly indexable graphs, Discrete math, 93 (1990) 123 - 129. [10]. Acharya. B.D. and Hegde S.M. On certain Valuations of graph, Indian J.pure and applied maths. 227 (1991) 553 - 560. [11]. Alon. N.and Scheinerman. E, Generalized sum graphs; Graphs and Combi 8 (1952) 23 - 29. ib2.
Transcript
Page 1: REFERENCESshodhganga.inflibnet.ac.in/bitstream/10603/97325/12/12_bibliography.pdf · REFERENCES [1). Abraham. J, Extensions ofgraceful valuations of 2-regularbipartite graphs, Congress

REFERENCES

[1). Abraham. J, Extensions of graceful valuations of 2-regular bipartite

graphs, Congress numerantium 84 (1991) pp. 51 - 59.

[2). Abraham. J, and Kotzig. A., All 2-regular graphs consisting of 4

cycles are graceful, Discrete maths 135 (1994) 1-14.

[3). Acharya. B.D. and Gill. M.K. On the index of gracefulness of a graph

and the gracefulness of two dimensional square lattice graphs,

Indian.J. Maths; 23 (1981) 81 - 94.

[4). Acharya. B.D., On d-sequential graphs, journal. Math.Phy.Sci.17

(1983) 21 - 35.

[5). Acharya.B.D., Are a/l polynomials arbitrarily graceful, proce.first south

east Asian Graph Theory Colloquium, Ed.Koh. K.M. and Yap. H.P,

Springer Verlag, New York (1984) 205 - 211.

[6). Acharya B.D. and Hegde S.M. Further results on k-sequential graphs

Nat. Acad. Sci. Lett., 8 (1995) 119 - 122.

[7). Acharya.B.D and Hegde. S. M. Set Sequential graphs, Nat­

Acad.Scie.Lett 8 (1985) 387 - 390.

[8). Acharya. B.D and Hegde S.M, Arithmetic graphs, Jour. Graph theory,

14 (3) (1989) 275 - 299.

[9]. Acharya. B.D. and Hegde S.M. Strongly indexable graphs, Discrete

math, 93 (1990) 123 - 129.

[10]. Acharya. B.D. and Hegde S.M. On certain Valuations of graph,

Indian J.pure and applied maths. 227 (1991) 553 - 560.

[11]. Alon. N.and Scheinerman. E, Generalized sum graphs; Graphs and

Combi 8 (1952) 23 - 29.

ib2.

Page 2: REFERENCESshodhganga.inflibnet.ac.in/bitstream/10603/97325/12/12_bibliography.pdf · REFERENCES [1). Abraham. J, Extensions ofgraceful valuations of 2-regularbipartite graphs, Congress

r:!i'G1ewlCel---------------------_::...--

[12}. Arumugam. S. and Germina. K. On Indexable graphs,

Discretemath. 161 (1996) 285 - 289.

[13]. Ayal. J. and Odite Favaron. Helms are graceful, Progress in Graph

Theory, Academic Press, Toronto, Ontario (1984) 89 - 92.

[14}. Baca.M. and Hollander. I. On (a,d) Antimagic prisms, Ars

Combinatoria 48 (1998) pp. 297 - 306.

[151. Baca. M., On magic Consecutive labelings for the speciaf classes of

plane graphs. Utilitas maths. 32 (1987) 59 - 65.

[16]. Baca. M. On Magic labelings of Mobius ladders. J. Franklin Inst. 326

(1989) 885 - 888.

[17]. Baca. M. On consecuUve labeJings of Plane graphs. J. Franklin

Inst.325 (1991) 249 - 253

[18]. Baca. M. J. Magic labelings of honey comb. Discrete Maths (1992)

305 - 311.

[19]. Baca. M. On Magic labelings of grid graphs. Ars Combiriatoria 33

(19'92) 295 - 299.

[20]. Baca. M. and Hollander, LabeJings of a certain class of convex

polytopes, J. Franklin Inst. 329 (1992) 539 - 547.

[21]. Balakrishnan. R. and Kumar. R. Existence and non existence of

Certain labeling for the graph K~V2K2 Utilitas math, 46 (1994) 97­

102.

[22]. Balakrishnan. R., Selvam. A, Yegnanarayanan. V., On Felicitous

labeling of Graphs, Graph Theory and its applications, Proceedings

of the national workshop held at M.S. University Thirunelveli February

21 - 27, (1996) 47 - 61.

[23]. Bange. D.W, Baska skar. A. F. and Sla er. P.J., Sequentially

additive graphs, Discretemath.44 (1983) 235 - 241.

163

Page 3: REFERENCESshodhganga.inflibnet.ac.in/bitstream/10603/97325/12/12_bibliography.pdf · REFERENCES [1). Abraham. J, Extensions ofgraceful valuations of 2-regularbipartite graphs, Congress

[24]. Beals. R, Gallian. J, Headly. P. and Jungries, Harmonious graphs:Jour. Combin Th, Series A. 56 (1991) 223 - 238.

[25]. Bermond J.C. Graceful graphs, radio Antennae and Frenchwindmills, Graph Theory and combinatorics, Pitman, London (1979)

13-37.

[26]. Bloom.G.S and Golomb.S.W. Applications of Undirected graphs,Proce. 1 EEE; 65 (1977) 562 - 570.

[27]. Bloom. G. S. and Golomb. S.W., Numbered complete graphs,Unusual rulers and assorted applications in Theory and Applications

of Graphs, Lecture notes in Maths; 642, Springer-verlag New York(1978) 53 - 65.

[28]. Bloom. G.S, A chronology of the Ringel - Kotzig conjecture and thecontinuing guest to call all tress are graceful Ann. N. Y. Acad. Sci. 326(1979).

[29]. Bodendick. R. and Walther. G., On (A,D) Antimagic parachutesl,Ars combin. 42 (1996) 129 -149.

[30]. Bodendick. R. and Walther. G., On (A,D) .Antimagic Parachutes II,Ars Combinatoria 46 (1997) pp. 33 - 63.

[31]. Bondy. J.A., and Murthy. U.S.R, Graph Theor; with applications,Macmillian Press, London (1977).

[32]. Barzin. M. and Ferravese. G, The subdivision graph of a gracefultree is a graceful tree, Discretemath, 181 (1998) 275 - 281.

[33]. Bhat Nayak and Deshmukh, New families of Graceful banana trees,proc. Indian Acad. Sci. Math.Sci.106 (1996) 201 - 216.

[34]. Bhat Nayak and Gokhale. S. K, Validity of Hebbare's conjecture,Utilitas Math. 29 (1986) 49 - 59.

[35]. Cahit. I, Elegant Valuation of the Paths, Ars Combini, 16 (1983) 223 ­

227

[36]. Cahit. I, Cordial graph, a weaker version of graceful and harmonious

graphs, Ars Combi. 23 (1987) 201 -120.

164

Page 4: REFERENCESshodhganga.inflibnet.ac.in/bitstream/10603/97325/12/12_bibliography.pdf · REFERENCES [1). Abraham. J, Extensions ofgraceful valuations of 2-regularbipartite graphs, Congress

0iGeje:wtU--------------------_!!...--

[37]. Cahit. I, On Cordial and 3-equitable labelings of graphs, utilitas Math,

37 (1990) 189 -198.

[38]. Cahit. I., Status of Graceful tree conjecture in 1989, in Topics in

combinatories and Graph Theory, R. Bodendick and R. Henn (eds),

Physica-Verlag, Heidelbrg, 1990.

[39]. Cahit. I., Recent results and open problems on cordial graphs,

Contemporary methods in Graph Theory, R. Bodendick (ed)

Wissenschaftsverlag, Mannheim, 1990,209 - 230.

[40]. Cahit. I. H-Cordial graphs, Bull. Inst. Combin. Appl., 18 (1996) 87 ­

101.

[41]. Chang G.J. HSU. D. F. and Rogers. D.G. Additive variations on a

graceful theme. some results on harmonious and other related graphs

congress. Numer. 32 (1981) 181 -197.

[42]. Chen. Z. Z. A generalization of the Bodendick conjecture about

Graceful graphs. Topics in Combinatorics and Graph Theory R.

Bendendick and R. Henn, eds. physica-verlag, Heidelberg 1990, 737

-746.

[43]. Choudum. S. A. and Kishore S.P. M, All 5 -Stars are skolem

graceful, Indian. J. Pure and Appli. Math. 27 (1996) 1101 -1105.

[44]. Chung. F.R.K. and Hwang. F.K., Rotatable graceful graphs, Ars

combin.11 (1981)239-250.

[45]. David Kuo, Gerald J. Chary and Hariskwing, Cordiallabelings of

mKn Discretemaths 169 (1997) 121 - 131.

[46]. Delmore. C., Two sets of graceful graphs, jour. graph theory 4

(1980) 247 - 250.

[4f]. Delmore. C., Maheo. M, Thuillier; H, Koh,K.M ed Teo.H.K, Cycles

with a chord are graceful, J. graph Theory 4 (1980) 409 - 415.

165

Page 5: REFERENCESshodhganga.inflibnet.ac.in/bitstream/10603/97325/12/12_bibliography.pdf · REFERENCES [1). Abraham. J, Extensions ofgraceful valuations of 2-regularbipartite graphs, Congress

[48]. Devaraj. J. On triangular graceful graphs; International Conference

on Graph Theory and its applications March 14-16, 2001, Anna

University Chennai.

[49]. Frucht. R, Graceful numbering of wheels and related graphs. Ann.

N.Y. Acad. of Sci., 319 (1979) 219 - 229.

[50]. Frucht. Rand Gallian. J.A., Labeling prisms, Ars Combin., 26 (1988)

69 -82.

[51]. Frucht. RW., and Salinas. L.C., Graceful numbering of graphs with

constraints on the first label, Ars Combin. 20 (1985) 143 - 157.

[52]. Fu. H.C. and Wa. S.L., New results on graceful graphs, J. combin. In

forsys. Sci., 15 (1990)170 -177.

[53]. Gallian. J.A., Labeling prisms and prism related graphs, Congress.

Numer., 59 (1989) 89 - 100. ./

[54]. Gallian. J.A., A survey : recent results, conjectures and open

problems on labeling graphs, J. Graph Theory, 13 (1984) 491 - 504.

[55]. Gallian, J.A., A guide to the graph labeling zoo, Discrete Appl.Math,

49 (1994) 213 - 229.

[56]. Gallian. J.A., A dynamic survey of Graph labeling, The electronic

journal of combinatorics 5 (1998) 1 - 52.

[57]. Gnanajothi. R8., Topics in Graph Theory, Ph.D. Thesis, Madurai

Kamaraj University (1991).

[58]. Germina. K.A., Studies in Graph Theory, Graceful, Harmonious,

strongly harmonious and Arithmetic graphs, Ph.D Thesis.

Manonmanium. Sundaranar University (1995).

[59]. Golomb. S.W., How to number a graph, in Graph Theory and

computing, RC. Read ed., Academic Press, New York (1972) 23 - 37.

166

Page 6: REFERENCESshodhganga.inflibnet.ac.in/bitstream/10603/97325/12/12_bibliography.pdf · REFERENCES [1). Abraham. J, Extensions ofgraceful valuations of 2-regularbipartite graphs, Congress

~leJlC-et----------------------~~-

[60]. Grace. 1. On sequential labelings of graphs J. Graph Theory, 7

(1983) 195 - 201.

[61]. Graham. R.L. and Sloane. N.J.A., On additive bases and

harmonious graphs. SIAM.J.Alg. Discrete Math (1980) 382 - 404.

[62]. Hai-Jen Lee, Hsun-Ming Lee and J.Chang cordial labelings of

graphs Chinese J. mathematics (1992) Vol. 20. No.3, 263 - 273.

[63]. Harary. F., Graph Theory, Narosa Publishing House, New Delhi

(1993).

[64]. Harary. F., Sum Graphs and difference graphs congs. Numer. 72

(1990) 101 - 108.

[65]. Hertsfield. N. and Ringel. G., Pearls in Graph Theory, Academic

Press, San Diego, 1990.

[66]. Hegde. S.M., Additively graceful graphs, Nat-Acad, Sei. Lett. 12

(1989) 387 - 390.

[67]. Hegde. S.M., On K. sequential graphs, Nat-Acad. Sei. Lett., 16 (1993)

299 - 301.

[68]. Ho. y'S., Lee. S.M., Shee, S.E, Cordial labelings of the cartesion

product and composition of graphs, Ars Combin; 29 (1990) 169 - 180.

[69]. Hegde. C. and Kuiper. H., All wheels are graceful, Utilitas Math; 14

(1987) 311.

[70]. Hovey. M., A-cordial graphs Discrete Math, 93 (1991) 183 -194

[71]. Jinnah. M.A., and Suresh Singh. G.S., A note on Arithmetic

numbering of graphs, pro Symposium on Graphs and Combinatorics,

Kochi, Kerala, India (1991) 83 - 87.

[72]. Jungreis. D. and Reid. M., Labeling grids, Ars Combin. 34 (1992)

167-182.

167

Page 7: REFERENCESshodhganga.inflibnet.ac.in/bitstream/10603/97325/12/12_bibliography.pdf · REFERENCES [1). Abraham. J, Extensions ofgraceful valuations of 2-regularbipartite graphs, Congress

[73]. Kathiresan.K.M, Consecutive labeling of two plane graphs. JAC.

Journal, 11,33 (1991).

[74]. Kathiresan.K.M, Subdivision of ladders are graceful. Indian.J.Pure

and applied math; 23 (1992) 21 - 23.

[75]. Ko-Wei. Lih, On Magic and consective labelings of plane graphs,

utilitas Math 24 (1983)165 - 197.

[76]. Koh. K.M. and Rogers. D.G., Lee. P.Y., and Toh. C.M., On graceful

graph: Union of graph with one vertex in common. Nanta Math, 12

(1979) 133 - 136.

[77]. Koh. K.M., Tan.T., and Rogers. D.G., Two theorems on graceful

trees, Discrete math, 25 (1979) 141 -148.

[78]. Koh-K.M, Rogers. D.G. and Tom. 1., Product of graceful trees,

Discrete math, 31 (1980) 279 - 292.

[79]. Koh. K.M., Rouses. D.G., Teo. H.K. and Yap. K.Y., Graceful Graphs.

Some further results and problems, Congress Numer. 29 (1980) 559 ­

571.

[80]. Koh. K.M., and Yap. K.Y., Graceful numberings of cycles with a P3­chord. Bull. Inst.math. Acd. Science 12 (1985) 41 - 48.

[81]. Kotzig. A and Rosa. A, Magic valuations of finite graphs, Canad­

math. Bult. 13 (1970) 451 - 461.

[82]. Kotzig. A, Recent results and open problems in graceful graphs.Congr. Numer. 44 (1984) 197 - 219. /

[83]. Kuo. D., Chang. G.K., Wong. Y.H., Cordiallabelings of mKn, Discrete

Math. 169 (1997) 121 -131.

[84]. Lee. H.Y., Lee. H.M. and Chany. G.J., Cordiallabelings of graphs.

Chinese.J.math, 20 (1985) 85 - 96.

[85]. Lee. S.M., and Liu. A, A construction of cordial graphs from smaller

cordial graphs. Ars cambin. 32 (1991) 209 - 214.

168

Page 8: REFERENCESshodhganga.inflibnet.ac.in/bitstream/10603/97325/12/12_bibliography.pdf · REFERENCES [1). Abraham. J, Extensions ofgraceful valuations of 2-regularbipartite graphs, Congress

~e/U!ItCA'/-------------------------~--

[86]. Lee. S.M., Schmeichel. E., and Shee., S.C., On felicitous graphs,Discrete math. 93 (1991) 201 - 209.

[87]. Lee. S.M., and Shee., On Skolem graceful graphs, Discrete math. 93

(1991) 195 - 200.

[88]. Liu. R.Y., On Bodendick's conjecture for graceful graphs, Chinese

Quart.J.math. 4 (1989) 67 - 73.

[89]. Liu. Y., The gracefulness of the Star with top sides J.sichuan Normal

Uni.V. 18 (1995) 52 -60.

[90]. Liu. B., and Zhang. X., On harmonious labelings of graphs, Ars.

Cambin, 36 (1993) 315 - 326.

[91]. Lo. S., On edge gracefullabelings of graphs, Congress. Numer. 50

(1985) 231 - 241.

[92]. Maheo. M., Strongly graceful graphs. Discrete Math 29 (1980) 39 -I

46.'

[93}. IVIaheo. M. and Thuillier. H., On graceful graphs, Ars. combin. 13

(1982) 181 - 192.

[94]. Mitchem. J. and Simoson. A., On edge- graceful and super-edgegraceful graphs. Ars cambin. 37 (1994) 97 -111.

[95]. Mollard. M., and Payan. C., Elegant labelings and edge colorings. A

proof of two conjectures of Hartman and chang. Hsu, Roger, Ars.

cambin. 36 (1993) 97 - 106.

[96]. Moultan. D., Gracefullabelings of triangular snakes. Ars Cambin. 28

(1989) 3 - 13.

[97]. Narasingh Deo, Graph Theory with applications to engineering andcomputer science, Prentice Hall of India, New Delhi (1990).

[98]. Punnim. Nand Pabhapote. N., On graceful graphs cycles with a PI\

chord, K 2 4, Ars. Combin. 23A (1987) 225 - 228.

169

Page 9: REFERENCESshodhganga.inflibnet.ac.in/bitstream/10603/97325/12/12_bibliography.pdf · REFERENCES [1). Abraham. J, Extensions ofgraceful valuations of 2-regularbipartite graphs, Congress

[99]. Rosa. A., On Certain Valuations of the vertices of a graph. Theory of

graphs (International symposium, Rome, July 1966) Gordon and

Breach, N.Y. and Dunod paris (1967) 349 - 355.

[100]. Rosa. A. and Siran. J. Bipartite labelings of trees and the grace

size.J.Graph Theory, 19 (1995) 201 - 215.

(101]. Ringel. G., Problem 25 theory of graphs and its applications,

Proceedings of the symposium somolenice 1963 Prague. Pub\.

House of Czechoslovat academy of science (1964) 162.

[102]. Seoud. M., Abd el Maqsoud and Sheehan. J. Harmonious graphs.

Utilitas Math. 47 (198) 225 - 233.

(103]. Shee. S.E. On harmonious and related graphs, Ars. Combin. 23

(1987) A, 237 - 247.

(104]. Shee. S.C., Some results on A-valuation of graphs involving complete

bipartite graphs, Discrete Math 28 (1991) 73 - 80.

(105]. Shee. S.C. and Ho. y'S., The cardinality of one point union of n­

copies of a graph. Discrets Math. 117 (1996) 221 - 229.

(106]. Shee. S. and Lee. S., On harmonious and felicitous labeling of

graphs. Congress. Number. 68 (1989) 155 -170.

(107]. Sheppard. D.A., The factorial representation of major balanced

labeled graphs. Discrete math. 15 (1976) 379 - 388.

(108]. Sin-Min - Lee and Andy Liu, A construction of k-graceful graphs from

complete bipartite graphs, SEA Bull. Math., Vol. 12. NO.1. (1988) 23 ­

30.

[109]. Singh. G. S., A note on graceful prisms Nat. Acad. Sci. lett. 15 (1992)

193 - 154.

[110]. Singh. G.S., A note on sequential crowns. Nat.Acad. Sci. 16 (1993)

243 - 245.

170

Page 10: REFERENCESshodhganga.inflibnet.ac.in/bitstream/10603/97325/12/12_bibliography.pdf · REFERENCES [1). Abraham. J, Extensions ofgraceful valuations of 2-regularbipartite graphs, Congress

[111]. Singh G.S., Subdivisfo are arithmetic Multidisciplinary

Research Review 2 Universityl) Kerala (1992) 23 - 25.

[112]. Singh. G.S., Some generalities on Arithmetic graphs. Graph Theory

Notes of New York, XXXVIII, 12-16 (2000) New York Academy of

Sciences.

[113]. Tom. A., Apostol, Introduction to Analytic Number theory, Springer

International student edition, Narosa Publishing House, (1980).

[114]. Slater. P.J. On k. sequential and other numbered graphs.

Discretemath. 34 (1981) 185 -193.

[115]. Slater. P. J., On k-graceful graphs, proc. of the 13 h S.E.conf. on

combinatorics, Graph theory and computing (1982) 53 - 57.

[116]. Slater. P. J. On k-Graceful, locally finite-graphs J.CombLTheory

series 8, (1983) 319 - 322.

[117]. Slater. P.J., Problems in Graph Theory, graceful and sequential

numberings of infinite graphs, South east Asian Bull, Math. 9 (1985)

15 - 25.

[118]. Slater P.J., On k-Graceful, Countably infinite graphs, Discrete math

61 (1956) 293 - 303.

[119]. Stewart. 8.M., Magic graphs, Canadian. J. math. 18 (1966) 1031 ­

1059.

[120]. Steward. 8.M., Super Magic Complete graph, Canadian j.Math: 19

(1967) 427 - 438.

[121]. Suresh Singh. G., Ph.D. Thesis Kerala University. (1993).

[122]. Yilmaz. R. and Ca it. l. E., Cordial graphs, Ars Combin, 46 (1997)

251 - 266. G3J.h60

171


Recommended