# zbMATH — the first resource for mathematics

## Advances and Applications in Discrete Mathematics

 Documents Indexed: 292 Publications (since 2008) References Indexed: 59 Publications with 798 References.
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all top 5

all top 5

#### Fields

 235 Combinatorics (05-XX) 23 Number theory (11-XX) 15 Information and communication theory, circuits (94-XX) 10 Computer science (68-XX) 9 Order, lattices, ordered algebraic structures (06-XX) 9 Linear and multilinear algebra; matrix theory (15-XX) 9 Group theory and generalizations (20-XX) 9 Operations research, mathematical programming (90-XX) 7 Biology and other natural sciences (92-XX) 6 Mathematical logic and foundations (03-XX) 6 Convex and discrete geometry (52-XX) 5 Special functions (33-XX) 5 Algebraic topology (55-XX) 5 Numerical analysis (65-XX) 4 Associative rings and algebras (16-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Difference and functional equations (39-XX) 4 General topology (54-XX) 4 Manifolds and cell complexes (57-XX) 4 Global analysis, analysis on manifolds (58-XX) 4 Statistics (62-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Commutative algebra (13-XX) 3 Sequences, series, summability (40-XX) 3 Probability theory and stochastic processes (60-XX) 3 Mechanics of particles and systems (70-XX) 3 Quantum theory (81-XX) 2 General and overarching topics; collections (00-XX) 2 General algebraic systems (08-XX) 2 Algebraic geometry (14-XX) 2 Measure and integration (28-XX) 2 Partial differential equations (35-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Geometry (51-XX) 2 Differential geometry (53-XX) 1 Field theory and polynomials (12-XX) 1 Category theory; homological algebra (18-XX) 1 Topological groups, Lie groups (22-XX) 1 Real functions (26-XX) 1 Approximations and expansions (41-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral transforms, operational calculus (44-XX) 1 Functional analysis (46-XX) 1 Fluid mechanics (76-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Systems theory; control (93-XX)

#### Citations contained in zbMATH Open

57 Publications have been cited 131 times in 126 Documents Cited by Year
Apostol-Bernoulli functions, derivative polynomials and Eulerian polynomials. Zbl 1221.11056
2008
Graphs with metric dimension two - a characterization. Zbl 1177.05121
Sudhakara, G.; Kumar, A. R. Hemanth
2009
Some connectivity concepts in weighted graphs. Zbl 1209.05118
Mathew, Sunil; Sunitha, M. S.
2010
Binomial transform and the backward difference. Zbl 1298.05015
2014
Perfect dominating set graph of a graph $$G$$. Zbl 1170.05048
Chaluvaraju, B.; Vidya, K. A.
2008
Ramsey minimal graphs for $$2K_2$$ versus $$P_n$$. Zbl 1239.05120
2011
All banana trees are graceful. Zbl 1175.05035
Sethuraman, G.; Jesintha, J. Jeba
2009
On harmonious colouring of central graphs. Zbl 1193.05159
J, Vernold Vivin; M., Akbar Ali. M.; Thilagavathi, K.
2008
Equitable coloring of corona products of graphs. Zbl 1275.05020
Furmańczyk, Hanna; K. Kaliraj; Kubale, Marek; Vivin, J. Vernold
2013
Characterization of 1-uniform dcsl graphs and well graded family of sets. Zbl 1328.05073
Germina, K. A.; James, Jinto
2015
The number of contractible edges in a 4-connected graph having a small number of edges not contained in triangles. Zbl 1325.05099
Kotani, Keiko; Nakamura, Shunsuke
2015
Multilateral basic hypergeometric summation identities and hyperoctahedral group symmetries. Zbl 1218.05027
Coskun, Hasan
2010
A note on the sparing number of graphs. Zbl 1302.05164
Sudev, N. K.; Germina, K. A.
2014
$$(1,2)^\ast$$-domination in graphs. Zbl 1373.05048
Canoy, Sergio R. jun.; Arriola, Shaleema A.
2017
On the path matrices of graphs and their properties. Zbl 1357.05092
Patekar, S. C.; Shikare, M. M.
2016
On topological set indexers of graphs. Zbl 1218.05171
Thomas, Ullas; Mathew, Sunil C.
2010
The distance between crossing points as a parameter in edge coloring problems for cubic graphs. Zbl 1223.05075
Koreas, Diamantis
2010
Transitive deficiency one partial parallelisms. Zbl 1162.51002
Diaz, Esteban; Johnson, Norman L.; Montinaro, Alessandro
2008
An improved lower bound on edge critical graphs with maximum degree of 8 and 9. Zbl 1290.05077
Li, Xuechao; Wei, Bing
2013
Dimension of vertex labeling of $$k$$-uniform dcsl path. Zbl 1338.05236
Nageswararao, K.; Germina, K. A.
2015
On the distance chromatic number of Hamming graphs. Zbl 1181.05045
Klotz, Walter; Sharifiyazdi, Elham
2008
Variation of Poincaré recurrence times in discrete dynamical systems. Zbl 1347.37026
Ismael, Mimoon; Nillsen, Rodney; Williams, Graham
2014
On minimum covering partition energy of a graph. Zbl 1373.05111
Reddy, P. Siva Kota; Prakasha, K. N.; Siddalingaswamy, V. M.
2017
Characterization for topologically set-graceful stars and paths. Zbl 1314.05182
Shahida, A. T.; Sunitha, M. S.
2015
Orthogonal double covers of complete bipartite graphs by paths and cycles. Zbl 1408.05108
Higazy, M.; Scapellato, R.
2015
Fourth atom-bond connectivity index and fifth arithmetic-geometric index of convex polytopes by using line operator. Zbl 1425.05046
Husin, Mohamad Nazri; Asif, Fatima; Zahid, Zohaib; Zafar, Sohail; Farahani, Mohammad Reza
2018
On minimal dominating sets for signed graphs. Zbl 1328.05138
Ashraf, P. K.; Germina, K. A.
2015
Total domination polynomials of square of some graphs. Zbl 1325.05131
Shyama, M. P.; Anil Kumar, V.
2015
A note on the higher derivatives of the function $$1/(\exp(x)-1)$$. Zbl 1357.26008
2016
Total domination polynomials of complete partite graphs. Zbl 1298.05258
Shyama, M. P.; Kumar V., Anil
2014
The linear representations of decision problems. Zbl 1305.62032
Matsuki, Norichika
2014
Uniform coverings of 2-paths in the complete bipartite directed graph. Zbl 1298.05218
Kobayashi, Midori; Kotani, Keiko; Mutoh, Nobuaki; Nakamura, Gisaku
2014
$$r$$-regular $$r$$-connected graphs with large girth. Zbl 1302.05094
Egawa, Yoshimi
2013
Triangular line signed graph of a signed graph. Zbl 1176.05036
Subramanya, M. S.; Reddy, P. Siva Kota
2009
Monochromatic paths on edge colored digraphs and state splittings. Zbl 1184.05055
Galeana-Sánchez, Hortensia; Gómez, Ricardo
2009
Lower bounds on edge critical graphs with maximum degree 7, 8 and 9. Zbl 1216.05033
Li, Xuechao
2010
Some projections of number-theoretic functions. Zbl 1195.11099
Daili, N.
2008
On 2-partitionable clutters and the MFMC property. Zbl 1211.05090
Flores-Méndez, Alejandro; Gitler, Isidoro; Reyes, Enrique
2008
Inequalities for the times we have to use the fourth color in a 4-edge coloring of a cubic graph. Zbl 1217.05092
Koreas, Diamantis
2008
On diameter three distance degree regular graphs. Zbl 1220.05031
Huilgol, Medha Itagi; Walikar, H. B.; Acharya, B. D.
2011
Two remarks on torus lights out puzzle. Zbl 1177.05071
Goshima, Masato; Yamagishi, Masakazu
2009
Sums of the Thue-Morse sequence over arithmetic progressions. Zbl 1217.11027
Cusick, T. W.; Stănică, P.
2009
Prime cordial labeling and duality. Zbl 1269.05094
2013
A conjecture on the existence of almost Moore digraphs. Zbl 1244.05102
2011
Mixed tree domination number. Zbl 1247.05178
Pilakkat, Raji; Kuttipulackal, Preethi
2012
The number of path homomorphisms by the generalized Catalan number. Zbl 1251.05106
Arworn, Sr.; Kim, Yangkok
2012
Adjacent-cycle permutations of a multiset. Zbl 1238.05006
Salvi, Norma Zagaglia
2011
Genus polynomial for similar benzene structure graphs. Zbl 1275.05017
Zeng, Jianchu; Liu, Yanpei; Hao, Rongxia; Lv, Shengxiang
2013
Some contribution on isomorphic fuzzy graphs. Zbl 1275.05046
Massa’deh, Mourad Oqla; Baareh, Abd Al Karim
2013
Super $$(a,d)$$-$$C_n$$-antimagic total labeling of ladder graph. Zbl 1286.05152
Susilowati, L.; Sania, T.; Estuningsih, N.
2012
On the 2-domination number of Cartesian product of two cycles. Zbl 1287.05108
Shaheen, Ramy
2013
Nonexistence of cubic ddi graphs of order 16 with diameters 4, 5, 6. Zbl 1333.05095
Huilgol, Medha Itagi; Rajeshwari, M.
2015
Some results on graceful labeling for families of swastik graphs. Zbl 1331.05185
Kaneria, V. J.; Makadia, H. M.
2015
Mathematical analysis of melodies: symmetry. Zbl 1335.05047
Hazama, Fumio
2016
On $$f$$-monohedral tilings. Zbl 1250.05035
Breda, Ana M.; Sigarreta, J. M.; Ruesga, P.
2009
The $$k$$-independent graph of a graph. Zbl 1371.05185
Fatehi, Davood; Alikhani, Saeid; Khalaf, Abdul Jalil M.
2017
The invariance, conservation laws and integration of some higher-order difference equations. Zbl 1371.39007
Folly-Gbetoula, M.; Kara, A. H.
2017
Fourth atom-bond connectivity index and fifth arithmetic-geometric index of convex polytopes by using line operator. Zbl 1425.05046
Husin, Mohamad Nazri; Asif, Fatima; Zahid, Zohaib; Zafar, Sohail; Farahani, Mohammad Reza
2018
$$(1,2)^\ast$$-domination in graphs. Zbl 1373.05048
Canoy, Sergio R. jun.; Arriola, Shaleema A.
2017
On minimum covering partition energy of a graph. Zbl 1373.05111
Reddy, P. Siva Kota; Prakasha, K. N.; Siddalingaswamy, V. M.
2017
The $$k$$-independent graph of a graph. Zbl 1371.05185
Fatehi, Davood; Alikhani, Saeid; Khalaf, Abdul Jalil M.
2017
The invariance, conservation laws and integration of some higher-order difference equations. Zbl 1371.39007
Folly-Gbetoula, M.; Kara, A. H.
2017
On the path matrices of graphs and their properties. Zbl 1357.05092
Patekar, S. C.; Shikare, M. M.
2016
A note on the higher derivatives of the function $$1/(\exp(x)-1)$$. Zbl 1357.26008
2016
Mathematical analysis of melodies: symmetry. Zbl 1335.05047
Hazama, Fumio
2016
Characterization of 1-uniform dcsl graphs and well graded family of sets. Zbl 1328.05073
Germina, K. A.; James, Jinto
2015
The number of contractible edges in a 4-connected graph having a small number of edges not contained in triangles. Zbl 1325.05099
Kotani, Keiko; Nakamura, Shunsuke
2015
Dimension of vertex labeling of $$k$$-uniform dcsl path. Zbl 1338.05236
Nageswararao, K.; Germina, K. A.
2015
Characterization for topologically set-graceful stars and paths. Zbl 1314.05182
Shahida, A. T.; Sunitha, M. S.
2015
Orthogonal double covers of complete bipartite graphs by paths and cycles. Zbl 1408.05108
Higazy, M.; Scapellato, R.
2015
On minimal dominating sets for signed graphs. Zbl 1328.05138
Ashraf, P. K.; Germina, K. A.
2015
Total domination polynomials of square of some graphs. Zbl 1325.05131
Shyama, M. P.; Anil Kumar, V.
2015
Nonexistence of cubic ddi graphs of order 16 with diameters 4, 5, 6. Zbl 1333.05095
Huilgol, Medha Itagi; Rajeshwari, M.
2015
Some results on graceful labeling for families of swastik graphs. Zbl 1331.05185
Kaneria, V. J.; Makadia, H. M.
2015
Binomial transform and the backward difference. Zbl 1298.05015
2014
A note on the sparing number of graphs. Zbl 1302.05164
Sudev, N. K.; Germina, K. A.
2014
Variation of Poincaré recurrence times in discrete dynamical systems. Zbl 1347.37026
Ismael, Mimoon; Nillsen, Rodney; Williams, Graham
2014
Total domination polynomials of complete partite graphs. Zbl 1298.05258
Shyama, M. P.; Kumar V., Anil
2014
The linear representations of decision problems. Zbl 1305.62032
Matsuki, Norichika
2014
Uniform coverings of 2-paths in the complete bipartite directed graph. Zbl 1298.05218
Kobayashi, Midori; Kotani, Keiko; Mutoh, Nobuaki; Nakamura, Gisaku
2014
Equitable coloring of corona products of graphs. Zbl 1275.05020
Furmańczyk, Hanna; K. Kaliraj; Kubale, Marek; Vivin, J. Vernold
2013
An improved lower bound on edge critical graphs with maximum degree of 8 and 9. Zbl 1290.05077
Li, Xuechao; Wei, Bing
2013
$$r$$-regular $$r$$-connected graphs with large girth. Zbl 1302.05094
Egawa, Yoshimi
2013
Prime cordial labeling and duality. Zbl 1269.05094
2013
Genus polynomial for similar benzene structure graphs. Zbl 1275.05017
Zeng, Jianchu; Liu, Yanpei; Hao, Rongxia; Lv, Shengxiang
2013
Some contribution on isomorphic fuzzy graphs. Zbl 1275.05046
Massa&rsquo;deh, Mourad Oqla; Baareh, Abd Al Karim
2013
On the 2-domination number of Cartesian product of two cycles. Zbl 1287.05108
Shaheen, Ramy
2013
Mixed tree domination number. Zbl 1247.05178
Pilakkat, Raji; Kuttipulackal, Preethi
2012
The number of path homomorphisms by the generalized Catalan number. Zbl 1251.05106
Arworn, Sr.; Kim, Yangkok
2012
Super $$(a,d)$$-$$C_n$$-antimagic total labeling of ladder graph. Zbl 1286.05152
Susilowati, L.; Sania, T.; Estuningsih, N.
2012
Ramsey minimal graphs for $$2K_2$$ versus $$P_n$$. Zbl 1239.05120
2011
On diameter three distance degree regular graphs. Zbl 1220.05031
Huilgol, Medha Itagi; Walikar, H. B.; Acharya, B. D.
2011
A conjecture on the existence of almost Moore digraphs. Zbl 1244.05102
2011
Adjacent-cycle permutations of a multiset. Zbl 1238.05006
Salvi, Norma Zagaglia
2011
Some connectivity concepts in weighted graphs. Zbl 1209.05118
Mathew, Sunil; Sunitha, M. S.
2010
Multilateral basic hypergeometric summation identities and hyperoctahedral group symmetries. Zbl 1218.05027
Coskun, Hasan
2010
On topological set indexers of graphs. Zbl 1218.05171
Thomas, Ullas; Mathew, Sunil C.
2010
The distance between crossing points as a parameter in edge coloring problems for cubic graphs. Zbl 1223.05075
Koreas, Diamantis
2010
Lower bounds on edge critical graphs with maximum degree 7, 8 and 9. Zbl 1216.05033
Li, Xuechao
2010
Graphs with metric dimension two - a characterization. Zbl 1177.05121
Sudhakara, G.; Kumar, A. R. Hemanth
2009
All banana trees are graceful. Zbl 1175.05035
Sethuraman, G.; Jesintha, J. Jeba
2009
Triangular line signed graph of a signed graph. Zbl 1176.05036
Subramanya, M. S.; Reddy, P. Siva Kota
2009
Monochromatic paths on edge colored digraphs and state splittings. Zbl 1184.05055
Galeana-Sánchez, Hortensia; Gómez, Ricardo
2009
Two remarks on torus lights out puzzle. Zbl 1177.05071
Goshima, Masato; Yamagishi, Masakazu
2009
Sums of the Thue-Morse sequence over arithmetic progressions. Zbl 1217.11027
Cusick, T. W.; Stănică, P.
2009
On $$f$$-monohedral tilings. Zbl 1250.05035
Breda, Ana M.; Sigarreta, J. M.; Ruesga, P.
2009
Apostol-Bernoulli functions, derivative polynomials and Eulerian polynomials. Zbl 1221.11056
2008
Perfect dominating set graph of a graph $$G$$. Zbl 1170.05048
Chaluvaraju, B.; Vidya, K. A.
2008
On harmonious colouring of central graphs. Zbl 1193.05159
J, Vernold Vivin; M., Akbar Ali. M.; Thilagavathi, K.
2008
Transitive deficiency one partial parallelisms. Zbl 1162.51002
Diaz, Esteban; Johnson, Norman L.; Montinaro, Alessandro
2008
On the distance chromatic number of Hamming graphs. Zbl 1181.05045
Klotz, Walter; Sharifiyazdi, Elham
2008
Some projections of number-theoretic functions. Zbl 1195.11099
Daili, N.
2008
On 2-partitionable clutters and the MFMC property. Zbl 1211.05090
Flores-Méndez, Alejandro; Gitler, Isidoro; Reyes, Enrique
2008
Inequalities for the times we have to use the fourth color in a 4-edge coloring of a cubic graph. Zbl 1217.05092
Koreas, Diamantis
2008
all top 5