[1] |
XU K, LIU M, DAS K C, et al. A survey on graphs extremal with respect to distance based topological indices[J]. MATCH Commun Math Comput Chem, 2014, 71: 461-508.
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[2] |
GUTMAN I. Degree-based topological indices[J]. Croat Chem Acta, 2013, 86: 351-361.
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[3] |
DAS K C, GUTMAN I, NADJAFIARANI M J. Relations between distance based and degree based topological indices[J]. Appl Math Comput, 2015, 270: 142-147.
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[4] |
FAJTLOWICZ S. On conjectures of Graffiti II[J]. Congr Numer, 1987, 60:189-197.
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[5] |
ZHANG Z, ZHANG J, LU X. The relation of matching with inverse degree of a graph[J]. Discrete Math, 2005, 301: 243-246.
|
[6] |
HU Y, LI X, XU T. Connected (n; m) graphs with minimum and maximum zeroth-order Randic' index[J]. Discrete Appl Math, 2007, 155: 1044-1054.
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[7] |
DANKELMANN P, HELLWIG A, VOLKMANN L. Inverse degree and edge-connectivity[J]. Discrete Math, 2009, 309: 2943-2947.
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[8] |
MUKWEMBI S. On diameter and inverse degree of a graph[J]. Discrete Math, 2010, 310: 940-946.
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[9] |
LI X, SHI Y. On the diameter and inverse degree[J]. Ars Combin, 2011, 101: 481- 487.
|
[10] |
CHEN X, FUJITA S. On diameter and inverse degree of chemical graphs[J]. Appl Anal Discrete Math, 2013, 7: 83-93.
|
[11] |
XU K, DAS K C. Some extremal graphs with respect to inverse degree[J]. Discrete Appl Math, 2016, 203: 171-183.
|
[12] |
DAS K C, XU K, WANG J. On inverse degree and topological indices of graphs[J]. Filomat, 2016, 30: 2111-2120.
|
[13] |
DAS K C, BALACHANDRAN S, GUTMAN I. Inverse degree, Randic' index and harmonic index of graphs[J]. Appl Anal Discrete Math, 2017, 11(2): 304-313.
|
[14] |
ELUMALAI S, HOSAMANI S M, MANSOUR T, et al. More on inverse degree and topological indices of graphs[J]. Filomat, 2018, 32(1): 165-178.
|
[15] |
CHVTAL V. On Hamiltons ideals[J]. J Combin Theory Ser B, 1972, 12: 163-168.
|
[16] |
KRONK H V. A note on k-path Hamiltonian graphs[J]. J Combin Theory, 1969, 7: 104-106.
|
[17] |
BONDY J A , CHVTAL V. A method in graph theory[J]. Discrete Math, 1976, 15: 111-135.
|
[18] |
YU G D, YE M L, CAI G X, et al. Signless Laplacian spectral conditions for Hamiltonicity of graphs[J]. Journal of Applied Mathematics, 2014, 2014: Article ID 282053.
|
[19] |
BONDY J A. Properties of graphs with constraints on degrees[J]. Studia Sci Math Hungar, 1969, 4: 473-475.
|
[20] |
BAUER D, HAKIMI S L, KAHL N, et al. Sufficient degree conditions for k-edge-connectedness of a graph[J]. Networks, 2009, 54: 95-98.
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[21] |
LAS VERGNAS M. Problèmes de couplages et problèmes Hamiltoniens en théorie des graphes[D]. Paris: Université Pierre-et-Marie-Curie, 1972.
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[22] |
BAUER D, BROERSMA H J, VAN DEN HEUVEL J, et al. Best monotone degree conditions for graph properties: A survey[J]. Graphs Combin, 2015, 31: 1-22.
|
[23] |
BERGE C. Graphs and Hypergraphs[M]. Amsterdam: North-Holland, 1973.
|
[24] |
FENG L, ZHANG P, LIU H, et al. Spectral conditions for some graphical properties[J]. Linear Algebra and Its Applications, 2017, 524: 182-198.)
|
[1] |
XU K, LIU M, DAS K C, et al. A survey on graphs extremal with respect to distance based topological indices[J]. MATCH Commun Math Comput Chem, 2014, 71: 461-508.
|
[2] |
GUTMAN I. Degree-based topological indices[J]. Croat Chem Acta, 2013, 86: 351-361.
|
[3] |
DAS K C, GUTMAN I, NADJAFIARANI M J. Relations between distance based and degree based topological indices[J]. Appl Math Comput, 2015, 270: 142-147.
|
[4] |
FAJTLOWICZ S. On conjectures of Graffiti II[J]. Congr Numer, 1987, 60:189-197.
|
[5] |
ZHANG Z, ZHANG J, LU X. The relation of matching with inverse degree of a graph[J]. Discrete Math, 2005, 301: 243-246.
|
[6] |
HU Y, LI X, XU T. Connected (n; m) graphs with minimum and maximum zeroth-order Randic' index[J]. Discrete Appl Math, 2007, 155: 1044-1054.
|
[7] |
DANKELMANN P, HELLWIG A, VOLKMANN L. Inverse degree and edge-connectivity[J]. Discrete Math, 2009, 309: 2943-2947.
|
[8] |
MUKWEMBI S. On diameter and inverse degree of a graph[J]. Discrete Math, 2010, 310: 940-946.
|
[9] |
LI X, SHI Y. On the diameter and inverse degree[J]. Ars Combin, 2011, 101: 481- 487.
|
[10] |
CHEN X, FUJITA S. On diameter and inverse degree of chemical graphs[J]. Appl Anal Discrete Math, 2013, 7: 83-93.
|
[11] |
XU K, DAS K C. Some extremal graphs with respect to inverse degree[J]. Discrete Appl Math, 2016, 203: 171-183.
|
[12] |
DAS K C, XU K, WANG J. On inverse degree and topological indices of graphs[J]. Filomat, 2016, 30: 2111-2120.
|
[13] |
DAS K C, BALACHANDRAN S, GUTMAN I. Inverse degree, Randic' index and harmonic index of graphs[J]. Appl Anal Discrete Math, 2017, 11(2): 304-313.
|
[14] |
ELUMALAI S, HOSAMANI S M, MANSOUR T, et al. More on inverse degree and topological indices of graphs[J]. Filomat, 2018, 32(1): 165-178.
|
[15] |
CHVTAL V. On Hamiltons ideals[J]. J Combin Theory Ser B, 1972, 12: 163-168.
|
[16] |
KRONK H V. A note on k-path Hamiltonian graphs[J]. J Combin Theory, 1969, 7: 104-106.
|
[17] |
BONDY J A , CHVTAL V. A method in graph theory[J]. Discrete Math, 1976, 15: 111-135.
|
[18] |
YU G D, YE M L, CAI G X, et al. Signless Laplacian spectral conditions for Hamiltonicity of graphs[J]. Journal of Applied Mathematics, 2014, 2014: Article ID 282053.
|
[19] |
BONDY J A. Properties of graphs with constraints on degrees[J]. Studia Sci Math Hungar, 1969, 4: 473-475.
|
[20] |
BAUER D, HAKIMI S L, KAHL N, et al. Sufficient degree conditions for k-edge-connectedness of a graph[J]. Networks, 2009, 54: 95-98.
|
[21] |
LAS VERGNAS M. Problèmes de couplages et problèmes Hamiltoniens en théorie des graphes[D]. Paris: Université Pierre-et-Marie-Curie, 1972.
|
[22] |
BAUER D, BROERSMA H J, VAN DEN HEUVEL J, et al. Best monotone degree conditions for graph properties: A survey[J]. Graphs Combin, 2015, 31: 1-22.
|
[23] |
BERGE C. Graphs and Hypergraphs[M]. Amsterdam: North-Holland, 1973.
|
[24] |
FENG L, ZHANG P, LIU H, et al. Spectral conditions for some graphical properties[J]. Linear Algebra and Its Applications, 2017, 524: 182-198.)
|