-
3
-
-
9444296174
-
Distance connectivity index
-
A.T. Balaban Distance connectivity index Chem. Phys. Lett. 89 1982 399 404
-
(1982)
Chem. Phys. Lett.
, vol.89
, pp. 399-404
-
-
Balaban, A.T.1
-
4
-
-
35649010951
-
On the variance of Shannon products of graphs
-
J. Balogh, and C. Smyth On the variance of Shannon products of graphs Discrete Appl. Math. 156 2008 110 118
-
(2008)
Discrete Appl. Math.
, vol.156
, pp. 110-118
-
-
Balogh, J.1
Smyth, C.2
-
5
-
-
0346263337
-
Two path extremal graphs and an application to a Ramsey-type problem
-
O.D. Byer Two path extremal graphs and an application to a Ramsey-type problem Discrete Math. 196 1999 51 64
-
(1999)
Discrete Math.
, vol.196
, pp. 51-64
-
-
Byer, O.D.1
-
6
-
-
0038141206
-
An upper bound on the sum of squares of degrees in a hypergraph
-
C. Bey An upper bound on the sum of squares of degrees in a hypergraph Discrete Math. 269 2003 259 263
-
(2003)
Discrete Math.
, vol.269
, pp. 259-263
-
-
Bey, C.1
-
8
-
-
0032411939
-
Graphs of extremal weights
-
B. Bollobás, and P. Erdös Graphs of extremal weights Ars Combin. 50 1998 225 233
-
(1998)
Ars Combin.
, vol.50
, pp. 225-233
-
-
Bollobás, B.1
Erdös, P.2
-
9
-
-
29144484952
-
Degree powers in graphs with forbidden subgraphs
-
B. Bollobás, and V. Nikiforov Degree powers in graphs with forbidden subgraphs Electron. J. Comb. 11 2004 R42
-
(2004)
Electron. J. Comb.
, vol.11
, pp. 42
-
-
Bollobás, B.1
Nikiforov, V.2
-
10
-
-
84859325133
-
Degree powers in graphs: The Erdös-Stone theorem
-
B. Bollobás, and V. Nikiforov Degree powers in graphs: the Erdös-Stone theorem Comb. Probab. Comput. 21 2012 89 105
-
(2012)
Comb. Probab. Comput.
, vol.21
, pp. 89-105
-
-
Bollobás, B.1
Nikiforov, V.2
-
13
-
-
0343071989
-
Information theory, distance matrix and molecular branching
-
D. Bonchev, and N. Trinajstić Information theory, distance matrix and molecular branching J. Chem. Phy. 67 1977 4517 4533
-
(1977)
J. Chem. Phy.
, vol.67
, pp. 4517-4533
-
-
Bonchev, D.1
Trinajstić, N.2
-
15
-
-
0039606459
-
Graphs with large variance
-
Y. Caro, and R. Yuster Graphs with large variance Ars Combin. 57 2000 151 162
-
(2000)
Ars Combin.
, vol.57
, pp. 151-162
-
-
Caro, Y.1
Yuster, R.2
-
16
-
-
4043059175
-
A Turán type problem concerning the powers of the degrees of a graph
-
Y. Caro, and R. Yuster A Turán type problem concerning the powers of the degrees of a graph Electron. J. Comb. 7 2000 R47
-
(2000)
Electron. J. Comb.
, vol.7
, pp. 47
-
-
Caro, Y.1
Yuster, R.2
-
17
-
-
33746672480
-
Sums of powers of the degrees of a graph
-
S.M. Cioabǎ Sums of powers of the degrees of a graph Discrete Math. 306 2006 1959 1964
-
(2006)
Discrete Math.
, vol.306
, pp. 1959-1964
-
-
Cioabǎ, S.M.1
-
19
-
-
0037904600
-
An upper bound on the sum of squares of degrees in a graph
-
D. de Caen An upper bound on the sum of squares of degrees in a graph Discrete Math. 185 1998 245 248
-
(1998)
Discrete Math.
, vol.185
, pp. 245-248
-
-
De Caen, D.1
-
20
-
-
44749091859
-
Information processing in complex networks: Graph entropy and information functionals
-
M. Dehmer Information processing in complex networks: graph entropy and information functionals Appl. Math. Comput. 201 2008 82 94
-
(2008)
Appl. Math. Comput.
, vol.201
, pp. 82-94
-
-
Dehmer, M.1
-
21
-
-
40049085450
-
Structural information content of networks: Graph entropy based on local vertex functionals
-
M. Dehmer, and F. Emmert-Streib Structural information content of networks: graph entropy based on local vertex functionals Comput. Biol. Chem. 32 2 2008 131 138
-
(2008)
Comput. Biol. Chem.
, vol.32
, Issue.2
, pp. 131-138
-
-
Dehmer, M.1
Emmert-Streib, F.2
-
22
-
-
52649173207
-
Entropy bounds for molecular hierarchical networks
-
M. Dehmer, S. Borgert, and F. Emmert-Streib Entropy bounds for molecular hierarchical networks PLoS ONE 3 8 2008 e3079
-
(2008)
PLoS ONE
, vol.3
, Issue.8
, pp. 3079
-
-
Dehmer, M.1
Borgert, S.2
Emmert-Streib, F.3
-
24
-
-
77958091914
-
A history of graph entropy measures
-
M. Dehmer, and A. Mowshowitz A history of graph entropy measures Inform. Sci. 181 2011 57 78
-
(2011)
Inform. Sci.
, vol.181
, pp. 57-78
-
-
Dehmer, M.1
Mowshowitz, A.2
-
26
-
-
68149167631
-
On entropy-based molecular descriptors: Statistical analysis of real and synthetic chemical structures
-
M. Dehmer, K. Varmuza, S. Borgert, and F. Emmert-Streib On entropy-based molecular descriptors: statistical analysis of real and synthetic chemical structures J. Chem. Inf. Model. 49 2009 1655 1663
-
(2009)
J. Chem. Inf. Model.
, vol.49
, pp. 1655-1663
-
-
Dehmer, M.1
Varmuza, K.2
Borgert, S.3
Emmert-Streib, F.4
-
28
-
-
0008449781
-
Some bounds on entropy measures in information theory
-
S. Dragomir, and C. Goh Some bounds on entropy measures in information theory Appl. Math. Lett. 10 1997 23 28
-
(1997)
Appl. Math. Lett.
, vol.10
, pp. 23-28
-
-
Dragomir, S.1
Goh, C.2
-
29
-
-
84860700562
-
Exploring statistical and population aspects of network complexity
-
F. Emmert-Streib, and M. Dehmer Exploring statistical and population aspects of network complexity PLoS ONE 7 2012 e34523
-
(2012)
PLoS ONE
, vol.7
, pp. 34523
-
-
Emmert-Streib, F.1
Dehmer, M.2
-
31
-
-
0012974874
-
On the graph theorem of Turán
-
(In Hungarian, MR46# 7090)
-
P. Erdös On the graph theorem of Turán Matematikai Lapok 21 1970 249 251 (In Hungarian, MR46# 7090)
-
(1970)
Matematikai Lapok
, vol.21
, pp. 249-251
-
-
Erdös, P.1
-
32
-
-
62849120398
-
Number of walks and degree powers in a graph
-
M.A. Fiol, and E. Garriga Number of walks and degree powers in a graph Discrete Math. 309 2009 2613 2614
-
(2009)
Discrete Math.
, vol.309
, pp. 2613-2614
-
-
Fiol, M.A.1
Garriga, E.2
-
33
-
-
33645320524
-
Moments of graphs in monotone families
-
Z. Füredi, and A. Kündgen Moments of graphs in monotone families J. Graph Theory 51 2006 37 48
-
(2006)
J. Graph Theory
, vol.51
, pp. 37-48
-
-
Füredi, Z.1
Kündgen, A.2
-
35
-
-
0000549907
-
On sets of acquaintances and strangers at any party
-
A.W. Goodman On sets of acquaintances and strangers at any party Amer. Math. Monthly 66 1959 778 783
-
(1959)
Amer. Math. Monthly
, vol.66
, pp. 778-783
-
-
Goodman, A.W.1
-
36
-
-
84974268451
-
Triangles in a complete chromatic graph
-
A.W. Goodman Triangles in a complete chromatic graph J. Austral. Math. Soc. (Ser. A) 39 1985 86 93
-
(1985)
J. Austral. Math. Soc. (Ser. A)
, vol.39
, pp. 86-93
-
-
Goodman, A.W.1
-
39
-
-
0028498920
-
Selected properties of the Schultz molecular topological index
-
I. Gutman Selected properties of the Schultz molecular topological index J. Chem. Inf. Comput. Sci. 34 1994 1087 1089
-
(1994)
J. Chem. Inf. Comput. Sci.
, vol.34
, pp. 1087-1089
-
-
Gutman, I.1
-
40
-
-
33846174306
-
Chemical graph theory - The mathematical connection
-
I. Gutman Chemical graph theory - the mathematical connection Adv. Quantum Chem. 51 2006 125 138
-
(2006)
Adv. Quantum Chem.
, vol.51
, pp. 125-138
-
-
Gutman, I.1
-
41
-
-
84889768519
-
Graph energy
-
M. Dehmer, F. Emmert-Streib, Wiley-VCH Verlag Weinheim
-
I. Gutman, X. Li, and J. Zhang Graph energy M. Dehmer, F. Emmert-Streib, Analysis of Complex Networks: From Biology to Linguistics 2009 Wiley-VCH Verlag Weinheim 145 174
-
(2009)
Analysis of Complex Networks: From Biology to Linguistics
, pp. 145-174
-
-
Gutman, I.1
Li, X.2
Zhang, J.3
-
44
-
-
0001219776
-
Topological index: A newly proposed quantity characterizing the topological nature of structural isomers of saturated hydrocarbons
-
H. Hosoya Topological index: a newly proposed quantity characterizing the topological nature of structural isomers of saturated hydrocarbons Bull. Chem. Soc. Jpn. 44 1971 2332 2339
-
(1971)
Bull. Chem. Soc. Jpn.
, vol.44
, pp. 2332-2339
-
-
Hosoya, H.1
-
45
-
-
33947237755
-
Connected (n,m)-graphs with minimum and maximum zeroth-order general Randić index
-
Y. Hu, X. Li, Y. Shi, and T. Xu Connected (n,m)-graphs with minimum and maximum zeroth-order general Randić index Discrete Appl. Math. 155 2007 1044 1054
-
(2007)
Discrete Appl. Math.
, vol.155
, pp. 1044-1054
-
-
Hu, Y.1
Li, X.2
Shi, Y.3
Xu, T.4
-
46
-
-
29344448044
-
On molecular graphs with smallest and greatest zeroth-order general Randić index
-
Y. Hu, X. Li, Y. Shi, T. Xu, and I. Gutman On molecular graphs with smallest and greatest zeroth-order general Randić index MATCH Commun. Math. Comput. Chem. 54 2005 425 434
-
(2005)
MATCH Commun. Math. Comput. Chem.
, vol.54
, pp. 425-434
-
-
Hu, Y.1
Li, X.2
Shi, Y.3
Xu, T.4
Gutman, I.5
-
47
-
-
33746755216
-
Minimizer graphs for a class of extremal problems
-
D. Ismailescu, and D. Stefanica Minimizer graphs for a class of extremal problems J. Graph Theory 39 2002 230 240
-
(2002)
J. Graph Theory
, vol.39
, pp. 230-240
-
-
Ismailescu, D.1
Stefanica, D.2
-
48
-
-
51249187583
-
Rearrangements of (0-1) matrices
-
M. Katz Rearrangements of (0-1) matrices Israel J. Math. 9 1971 13 15
-
(1971)
Israel J. Math.
, vol.9
, pp. 13-15
-
-
Katz, M.1
-
51
-
-
0041370197
-
The meaning of molecular connectivity: A bimolecular accessibility model
-
L.B. Kier, and L.H. Hall The meaning of molecular connectivity: a bimolecular accessibility model Croat. Chem. Acta 75 2002 371 382
-
(2002)
Croat. Chem. Acta
, vol.75
, pp. 371-382
-
-
Kier, L.B.1
Hall, L.H.2
-
52
-
-
0002532088
-
Coding of an information source having ambiguous alphabet and the entropy of graphs
-
J. Körner, Coding of an information source having ambiguous alphabet and the entropy of graphs, in: Transactions of the 6-th Prague Conference on Information Theory, 1973, pp. 411-425.
-
(1973)
Transactions of the 6-th Prague Conference on Information Theory
, pp. 411-425
-
-
Körner, J.1
-
56
-
-
12444342998
-
Trees with the first three smallest and largest generalized topological indices
-
X. Li, and H. Zhao Trees with the first three smallest and largest generalized topological indices MATCH Commun. Math. Comput. Chem. 50 2004 57 62
-
(2004)
MATCH Commun. Math. Comput. Chem.
, vol.50
, pp. 57-62
-
-
Li, X.1
Zhao, H.2
-
57
-
-
0036972875
-
An extremal problem on degree sequences of graphs
-
N. Linial, and E. Rozenman An extremal problem on degree sequences of graphs Graphs Combin. 18 2002 573 582
-
(2002)
Graphs Combin.
, vol.18
, pp. 573-582
-
-
Linial, N.1
Rozenman, E.2
-
58
-
-
0014257683
-
Entropy and the complexity of the graphs I: An index of the relative complexity of a graph
-
A. Mowshowitz Entropy and the complexity of the graphs I: an index of the relative complexity of a graph Bull. Math. Biophys. 30 1968 175 204
-
(1968)
Bull. Math. Biophys.
, vol.30
, pp. 175-204
-
-
Mowshowitz, A.1
-
59
-
-
0014296467
-
Entropy and the complexity of graphs II: The information content of digraphs and infinite graphs
-
A. Mowshowitz Entropy and the complexity of graphs II: the information content of digraphs and infinite graphs Bull. Math. Biophys. 30 1968 225 240
-
(1968)
Bull. Math. Biophys.
, vol.30
, pp. 225-240
-
-
Mowshowitz, A.1
-
60
-
-
51249190020
-
Entropy and the complexity of graphs III: Graphs with prescribed information content
-
A. Mowshowitz Entropy and the complexity of graphs III: graphs with prescribed information content Bull. Math. Biophys. 30 1968 387 414
-
(1968)
Bull. Math. Biophys.
, vol.30
, pp. 387-414
-
-
Mowshowitz, A.1
-
61
-
-
51249189854
-
Entropy and the complexity of graphs IV: Entropy measures and graphical structure
-
A. Mowshowitz Entropy and the complexity of graphs IV: entropy measures and graphical structure Bull. Math. Biophys. 30 1968 533 546
-
(1968)
Bull. Math. Biophys.
, vol.30
, pp. 533-546
-
-
Mowshowitz, A.1
-
62
-
-
70349503930
-
Degree powers in graphs with a forbidden even cycle
-
V. Nikiforov Degree powers in graphs with a forbidden even cycle Electron. J. Comb. 16 2009 R107
-
(2009)
Electron. J. Comb.
, vol.16
, pp. 107
-
-
Nikiforov, V.1
-
63
-
-
0039309747
-
A conjecture of Goodman and the multiplicities of graphs
-
D. Olpp A conjecture of Goodman and the multiplicities of graphs Australasian J. Combin. 14 1996 267 282
-
(1996)
Australasian J. Combin.
, vol.14
, pp. 267-282
-
-
Olpp, D.1
-
64
-
-
0033461042
-
(n, e) -Graphs with maximum sum of squares of degrees
-
U.N. Peled, R. Pedreschi, and Q. Sterbini (n, e) -Graphs with maximum sum of squares of degrees J. Graph Theory 31 1999 283 295
-
(1999)
J. Graph Theory
, vol.31
, pp. 283-295
-
-
Peled, U.N.1
Pedreschi, R.2
Sterbini, Q.3
-
65
-
-
0001390587
-
The degree variance: An index of graph heterogeneity
-
T.A.B. Snijders The degree variance: an index of graph heterogeneity Social Netw. 3 1981 163 174
-
(1981)
Social Netw.
, vol.3
, pp. 163-174
-
-
Snijders, T.A.B.1
-
66
-
-
33644851967
-
Information theory of complex networks: On evolution and architectural constraints
-
R.V. Sol, and S.i. Valverde Information theory of complex networks: on evolution and architectural constraints Complex Netw. Lect. Notes Phys. 650 2004 189 207
-
(2004)
Complex Netw. Lect. Notes Phys.
, vol.650
, pp. 189-207
-
-
Sol, R.V.1
-
67
-
-
51649200028
-
Life, information theory, and topology
-
N. Rashevsky Life, information theory, and topology Bull. Math. Biophys. 17 1955 229 235
-
(1955)
Bull. Math. Biophys.
, vol.17
, pp. 229-235
-
-
Rashevsky, N.1
-
68
-
-
8644280181
-
On characterization of molecular branching
-
M. Randić On characterization of molecular branching J. Am. Chem. Soc. 97 1975 6609 6615
-
(1975)
J. Am. Chem. Soc.
, vol.97
, pp. 6609-6615
-
-
Randić, M.1
-
69
-
-
42149156590
-
On history of the Randić index and emerging hostility toward chemical graph theory
-
M. Randić On history of the Randić index and emerging hostility toward chemical graph theory MATCH Commun. Math. Comput. Chem. 59 2008 5 124
-
(2008)
MATCH Commun. Math. Comput. Chem.
, vol.59
, pp. 5-124
-
-
Randić, M.1
-
71
-
-
0037116449
-
Entropy lower bounds for quantum decision tree complexity
-
Y. Shi Entropy lower bounds for quantum decision tree complexity Inf. Process. Lett. 81 2002 23 27
-
(2002)
Inf. Process. Lett.
, vol.81
, pp. 23-27
-
-
Shi, Y.1
-
72
-
-
84867287480
-
Recent developments in extremal combinatorics: Ramsey and turn type problems
-
B. Sudakov, Recent developments in extremal combinatorics: Ramsey and turn type problems, in: Proceedings of the International Congress of Mathematicians, vol. IV, 2010, pp. 2579-2606.
-
(2010)
Proceedings of the International Congress of Mathematicians
, vol.4
, pp. 2579-2606
-
-
Sudakov, B.1
-
74
-
-
4043145878
-
Network structure entropy and its application to scale-free networks
-
Y.J. Tan, and J. Wu Network structure entropy and its application to scale-free networks Syst. Eng.-Theory Pract. 6 2004 1 3
-
(2004)
Syst. Eng.-Theory Pract.
, vol.6
, pp. 1-3
-
-
Tan, Y.J.1
Wu, J.2
-
76
-
-
51649221175
-
A note on the information content of graphs
-
E. Trucco A note on the information content of graphs Bull. Math. Biol. 18 1965 129 135
-
(1965)
Bull. Math. Biol.
, vol.18
, pp. 129-135
-
-
Trucco, E.1
-
78
-
-
8544254107
-
Structural determination of paraffin boiling points
-
H. Wiener Structural determination of paraffin boiling points J. Am. Chem. Soc. 69 1947 17 20
-
(1947)
J. Am. Chem. Soc.
, vol.69
, pp. 17-20
-
-
Wiener, H.1
|