## Advances and Applications in Discrete Mathematics

 Documents Indexed: 464 Publications (since 2008) References Indexed: 229 Publications with 2,827 References.
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### Fields

 349 Combinatorics (05-XX) 36 Number theory (11-XX) 21 Computer science (68-XX) 21 Information and communication theory, circuits (94-XX) 19 Operations research, mathematical programming (90-XX) 17 Mathematical logic and foundations (03-XX) 16 Linear and multilinear algebra; matrix theory (15-XX) 14 Order, lattices, ordered algebraic structures (06-XX) 14 Statistics (62-XX) 12 Group theory and generalizations (20-XX) 12 Numerical analysis (65-XX) 11 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 8 General topology (54-XX) 8 Biology and other natural sciences (92-XX) 7 Associative rings and algebras (16-XX) 7 Convex and discrete geometry (52-XX) 7 Algebraic topology (55-XX) 6 Dynamical systems and ergodic theory (37-XX) 6 Difference and functional equations (39-XX) 6 Global analysis, analysis on manifolds (58-XX) 5 Special functions (33-XX) 5 Sequences, series, summability (40-XX) 5 Probability theory and stochastic processes (60-XX) 4 Commutative algebra (13-XX) 4 Manifolds and cell complexes (57-XX) 4 Mathematics education (97-XX) 3 General and overarching topics; collections (00-XX) 3 General algebraic systems (08-XX) 3 Algebraic geometry (14-XX) 3 Real functions (26-XX) 3 Partial differential equations (35-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Differential geometry (53-XX) 3 Mechanics of particles and systems (70-XX) 3 Quantum theory (81-XX) 2 Measure and integration (28-XX) 2 Approximations and expansions (41-XX) 2 Integral transforms, operational calculus (44-XX) 2 Geometry (51-XX) 2 Systems theory; control (93-XX) 1 Field theory and polynomials (12-XX) 1 Category theory; homological algebra (18-XX) 1 Topological groups, Lie groups (22-XX) 1 Functions of a complex variable (30-XX) 1 Ordinary differential equations (34-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral equations (45-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Fluid mechanics (76-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Statistical mechanics, structure of matter (82-XX)

### Citations contained in zbMATH Open

72 Publications have been cited 171 times in 163 Documents Cited by Year
Apostol-Bernoulli functions, derivative polynomials and Eulerian polynomials. Zbl 1221.11056
2008
Binomial transform and the backward difference. Zbl 1298.05015
2014
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
On harmonious colouring of central graphs. Zbl 1193.05159
J, Vernold Vivin; M., Akbar Ali. M.; Thilagavathi, K.
2008
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
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
Prime cordial labeling and duality. Zbl 1269.05094
2013
Multilateral basic hypergeometric summation identities and hyperoctahedral group symmetries. Zbl 1218.05027
Coskun, Hasan
2010
$$(1,2)^\ast$$-domination in graphs. Zbl 1373.05048
Canoy, Sergio R. jun.; Arriola, Shaleema A.
2017
A note on the sparing number of graphs. Zbl 1302.05164
Sudev, N. K.; Germina, K. A.
2014
Some contribution on isomorphic fuzzy graphs. Zbl 1275.05046
Massa’deh, Mourad Oqla; Baareh, Abd Al Karim
2013
On topological set indexers of graphs. Zbl 1218.05171
Thomas, Ullas; Mathew, Sunil C.
2010
Dimension of vertex labeling of $$k$$-uniform dcsl path. Zbl 1338.05236
Nageswararao, K.; Germina, K. A.
2015
An improved lower bound on edge critical graphs with maximum degree of 8 and 9. Zbl 1290.05077
Li, Xuechao; Wei, Bing
2013
On diameter three distance degree regular graphs. Zbl 1220.05031
Huilgol, Medha Itagi; Walikar, H. B.; Acharya, B. D.
2011
The distance between crossing points as a parameter in edge coloring problems for cubic graphs. Zbl 1223.05075
Koreas, Diamantis
2010
Total domination polynomials of complete partite graphs. Zbl 1298.05258
Shyama, M. P.; Kumar V., Anil
2014
On the distance chromatic number of Hamming graphs. Zbl 1181.05045
Klotz, Walter; Sharifiyazdi, Elham
2008
Duality and hereditary König-Egerváry set-systems. Zbl 1427.05161
2018
Gutman index of some derived graphs. Zbl 1425.05043
2019
Transitive deficiency one partial parallelisms. Zbl 1162.51002
Diaz, Esteban; Johnson, Norman L.; Montinaro, Alessandro
2008
A note on the higher derivatives of the function $$1/(\exp(x)-1)$$. Zbl 1357.26008
2016
On the path matrices of graphs and their properties. Zbl 1357.05092
Patekar, S. C.; Shikare, M. M.
2016
A filtration of the configuration space of spatial polygons. Zbl 07479627
Kamiyama, Yasuhiko
2019
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 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
Lower bounds on edge critical graphs with maximum degree 7, 8 and 9. Zbl 1216.05033
Li, Xuechao
2010
Nonexistence of cubic ddi graphs of order 16 with diameters 4, 5, 6. Zbl 1333.05095
Huilgol, Medha Itagi; Rajeshwari, M.
2015
3-uniform hypergraphs of right ternary near-rings and existence of BIBDs. Zbl 1331.05163
Maheswari, A. Uma; Meera, C.
2015
Some results on graceful labeling for families of swastik graphs. Zbl 1331.05185
Kaneria, V. J.; Makadia, H. M.
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
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
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
Mathematical analysis of melodies: symmetry. Zbl 1335.05047
Hazama, Fumio
2016
On minimum covering partition energy of a graph. Zbl 1373.05111
Reddy, P. Siva Kota; Prakasha, K. N.; Siddalingaswamy, V. M.
2017
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
Global dual $$k$$-alliance in cubic graphs. Zbl 1307.05178
Hernández-Gómez, Juan Carlos; Sigarreta, Jose M.
2013
Variation of Poincaré recurrence times in discrete dynamical systems. Zbl 1347.37026
Ismael, Mimoon; Nillsen, Rodney; Williams, Graham
2014
Unique metro domination in graphs. Zbl 1314.05152
Sooryanarayana, B.; Sherra, John
2014
Adjacent-cycle permutations of a multiset. Zbl 1238.05006
Salvi, Norma Zagaglia
2011
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
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
A conjecture on the existence of almost Moore digraphs. Zbl 1244.05102
2011
Genus polynomial for similar benzene structure graphs. Zbl 1275.05017
Zeng, Jianchu; Liu, Yanpei; Hao, Rongxia; Lv, Shengxiang
2013
The upper forcing Steiner number of a graph. Zbl 1275.05018
John, J.; Arockiamary, A.
2013
Discrete model of static loads distribution management on lattice structures. Zbl 1425.05007
Kuzmin, O. V.; Khomenko, A. P.; Artyunin, A. I.
2018
Development of special mathematical software using combinatorial numbers and lattice structure analysis. Zbl 1428.05020
Kuzmin, O. V.; Khomenko, A. P.; Artyunin, A. I.
2018
On the corona product of monogenic semigroup graphs. Zbl 1425.05073
Nacaroglu, Yasar
2018
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
Partially ordered sets and combinatory objects of the pyramidal structure. Zbl 1428.05013
Kuzmin, O. V.; Balagura, A. A.; Kuzmina, V. V.; Khudonogov, I. A.
2019
Partial domination in the join, corona, lexicographic and Cartesian products of graphs. Zbl 1427.05166
Macapodi, Roselainie D.; Isla, Rowena T.; Canoy, Sergio R. jun.
2019
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
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
Zero-divisor graphs of non-commutative rings. Zbl 1252.16034
Rajkhowa, Kukil Kalpa; Saikia, Helen K.
2012
$$\lambda$$-mutually orthogonal covers of complete bipartite graphs. Zbl 1357.05122
Higazy, M.
2016
Restrained edge domination in graphs. Zbl 07479472
2019
Gutman index of some derived graphs. Zbl 1425.05043
2019
A filtration of the configuration space of spatial polygons. Zbl 07479627
Kamiyama, Yasuhiko
2019
Partially ordered sets and combinatory objects of the pyramidal structure. Zbl 1428.05013
Kuzmin, O. V.; Balagura, A. A.; Kuzmina, V. V.; Khudonogov, I. A.
2019
Partial domination in the join, corona, lexicographic and Cartesian products of graphs. Zbl 1427.05166
Macapodi, Roselainie D.; Isla, Rowena T.; Canoy, Sergio R. jun.
2019
Restrained edge domination in graphs. Zbl 07479472
2019
Duality and hereditary König-Egerváry set-systems. Zbl 1427.05161
2018
Discrete model of static loads distribution management on lattice structures. Zbl 1425.05007
Kuzmin, O. V.; Khomenko, A. P.; Artyunin, A. I.
2018
Development of special mathematical software using combinatorial numbers and lattice structure analysis. Zbl 1428.05020
Kuzmin, O. V.; Khomenko, A. P.; Artyunin, A. I.
2018
On the corona product of monogenic semigroup graphs. Zbl 1425.05073
Nacaroglu, Yasar
2018
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
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 minimum covering partition energy of a graph. Zbl 1373.05111
Reddy, P. Siva Kota; Prakasha, K. N.; Siddalingaswamy, V. M.
2017
A note on the higher derivatives of the function $$1/(\exp(x)-1)$$. Zbl 1357.26008
2016
On the path matrices of graphs and their properties. Zbl 1357.05092
Patekar, S. C.; Shikare, M. M.
2016
Mathematical analysis of melodies: symmetry. Zbl 1335.05047
Hazama, Fumio
2016
$$\lambda$$-mutually orthogonal covers of complete bipartite graphs. Zbl 1357.05122
Higazy, M.
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
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
3-uniform hypergraphs of right ternary near-rings and existence of BIBDs. Zbl 1331.05163
Maheswari, A. Uma; Meera, C.
2015
Some results on graceful labeling for families of swastik graphs. Zbl 1331.05185
Kaneria, V. J.; Makadia, H. M.
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
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
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
Variation of Poincaré recurrence times in discrete dynamical systems. Zbl 1347.37026
Ismael, Mimoon; Nillsen, Rodney; Williams, Graham
2014
Unique metro domination in graphs. Zbl 1314.05152
Sooryanarayana, B.; Sherra, John
2014
Equitable coloring of corona products of graphs. Zbl 1275.05020
Furmańczyk, Hanna; K. Kaliraj; Kubale, Marek; Vivin, J. Vernold
2013
Prime cordial labeling and duality. Zbl 1269.05094
2013
Some contribution on isomorphic fuzzy graphs. Zbl 1275.05046
Massa&rsquo;deh, Mourad Oqla; Baareh, Abd Al Karim
2013
An improved lower bound on edge critical graphs with maximum degree of 8 and 9. Zbl 1290.05077
Li, Xuechao; Wei, Bing
2013
On the 2-domination number of Cartesian product of two cycles. Zbl 1287.05108
Shaheen, Ramy
2013
$$r$$-regular $$r$$-connected graphs with large girth. Zbl 1302.05094
Egawa, Yoshimi
2013
Global dual $$k$$-alliance in cubic graphs. Zbl 1307.05178
Hernández-Gómez, Juan Carlos; Sigarreta, Jose M.
2013
Genus polynomial for similar benzene structure graphs. Zbl 1275.05017
Zeng, Jianchu; Liu, Yanpei; Hao, Rongxia; Lv, Shengxiang
2013
The upper forcing Steiner number of a graph. Zbl 1275.05018
John, J.; Arockiamary, A.
2013
Super $$(a,d)$$-$$C_n$$-antimagic total labeling of ladder graph. Zbl 1286.05152
Susilowati, L.; Sania, T.; Estuningsih, N.
2012
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
Zero-divisor graphs of non-commutative rings. Zbl 1252.16034
Rajkhowa, Kukil Kalpa; Saikia, Helen K.
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
Adjacent-cycle permutations of a multiset. Zbl 1238.05006
Salvi, Norma Zagaglia
2011
A conjecture on the existence of almost Moore digraphs. Zbl 1244.05102
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
On harmonious colouring of central graphs. Zbl 1193.05159
J, Vernold Vivin; M., Akbar Ali. M.; Thilagavathi, K.
2008
Perfect dominating set graph of a graph $$G$$. Zbl 1170.05048
Chaluvaraju, B.; Vidya, K. A.
2008
On the distance chromatic number of Hamming graphs. Zbl 1181.05045
Klotz, Walter; Sharifiyazdi, Elham
2008
Transitive deficiency one partial parallelisms. Zbl 1162.51002
Diaz, Esteban; Johnson, Norman L.; Montinaro, Alessandro
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
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
all top 5