Found 224 Documents (Results 1–100)
Combinatorial versus algebraic formulae for the Moore-Penrose inverse of a Laplacian matrix of a threshold graph. (English) Zbl 1536.05281
On the inverse and Moore-Penrose inverse of resistance matrix of graphs with more general matrix weights. (English) Zbl 1541.05108
On the permutation cycle structures for almost Moore digraphs of degrees 4 and 5. (English) Zbl 07833068
Resistance distance of generalized wheel and dumbbell graph using symmetric \(\{1\}\)-inverse of Laplacian matrix. (English) Zbl 1518.05123
Expressions and characterizations for the Moore-Penrose inverse of operators and matrices. (English) Zbl 07692352
Reviewer: Mohammed Hichem Mortad (Oran)
Nonexistence of almost Moore digraphs of degrees 4 and 5 with self-repeats. (English) Zbl 1511.05086
Kissing numbers of regular graphs. (English) Zbl 1513.05221
Reviewer: László A. Székely (Columbia)
Extremal Betti numbers of symbolic powers of two-dimensional squarefree monomial ideals. (English) Zbl 1490.13032
Reviewer: Jorge Neves (Coimbra)
An upper bound on the order of graphs of diameter two arising as abelian lifts of multigraphs. (English) Zbl 1482.05085
A connection between a question of Bermond and Bollobás and Ramanujan graphs. (English) Zbl 1473.05169
Moore-Penrose inverses of the signless Laplacian and edge-Laplacian of graphs. (English) Zbl 1466.05120
The largest Moore graph and a distance-regular graph with intersection array \(\{55, 54, 2; 1, 1, 54\}\). (English. Russian original) Zbl 1458.05056
Algebra Logic 59, No. 4, 322-327 (2020); translation from Algebra Logika 59, No. 4, 471-479 (2020).
An improved Moore bound and some new optimal families of mixed abelian Cayley graphs. (English) Zbl 1445.05047
MSC:
05C25
New Moore-like bounds and some optimal families of abelian Cayley mixed graphs. (English) Zbl 1442.05083
Identities for minors of the Laplacian, resistance and distance matrices of graphs with arbitrary weights. (English) Zbl 1428.05182
MSC:
05C50
Mixed cages. (English) Zbl 1426.05053
The Moore-Penrose inverse of the incidence matrix of complete multipartite and bi-block graphs. (English) Zbl 1418.05081
Resistance distances in corona and neighborhood corona networks based on Laplacian generalized inverse approach. (English) Zbl 1414.05248
On the non-existence of families of \((d,k, \delta)\)-digraphs containing only selfrepeat vertices. (English) Zbl 1405.05100
Moore-Penrose inverse of incidence matrix of graphs with complete and cyclic blocks. (English) Zbl 1400.05153
On bipartite-mixed graphs. (English) Zbl 1402.05088
Packing in regular graphs. (English) Zbl 1395.05132
Edge-girth-regular graphs. (English) Zbl 1390.05229
MSC:
05C99
The diameter of dense random regular graphs. (English) Zbl 1403.05138
Czumaj, Artur (ed.), Proceedings of the 29th annual ACM-SIAM symposium on discrete algorithms, SODA 2018, New Orleans, LA, USA, January 7–10, 2018. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM); New York, NY: Association for Computing Machinery (ACM) (ISBN 978-1-61197-503-1/ebook). 1934-1944 (2018).
On digraphs of excess one. (English) Zbl 1380.05087
Uniformly dissociated graphs. (English) Zbl 1380.05148
Cayley graphs of diameter 2 from difference sets. (English) Zbl 1371.05125
Reviewer: Joy Morris (Lethbridge)
Real-world algorithms. A beginner’s guide. (English) Zbl 1373.68004
Cambridge, MA: MIT Press (ISBN 978-0-262-03570-5/hbk; 978-0-262-33814-1/ebook). xvi, 509 p. (2017).
Reviewer: Irina Ioana Mohorianu (Norwich)
On the critical group of the missing Moore graph. (English) Zbl 1357.05078
MSC:
05C50
Sequence mixed graphs. (English) Zbl 1354.05057
Finite-dimensional approximation of the Moore-Penrose inverse of a densely defined closed operator with closed range. (Chinese. English summary) Zbl 1374.47027
Graphs represented by extended diagonal matrices. (English) Zbl 1358.05198
MSC:
05C62
A Hadamard-type open map theorem for submersions and applications to completeness results in control theory. (English) Zbl 1367.46003
Reviewer: Iakovos Androulidakis (Athína)
A new method for enumerating independent sets of a fixed size in general graphs. (English) Zbl 1330.05115
Application of a generalized Sherman-Morrison formula to the computation of network Green’s functions and the construction of spanning trees. (English) Zbl 1465.05106
Moore graphs and cycles are extremal graphs for convex cycles. (English) Zbl 1328.05097
Reviewer: Peter Horák (Tacoma)
An entropy-based proof for the Moore bound for irregular graphs. (English) Zbl 1345.05048
Agrawal, Manindra (ed.) et al., Perspectives in computational complexity. The Somenath Biswas anniversary volume. Selected papers based on the presentations at the workshop, Kanpur, India, Summer 2012. Cham: Birkhäuser/Springer (ISBN 978-3-319-05445-2/hbk; 978-3-319-05446-9/ebook). Progress in Computer Science and Applied Logic 26, 173-181 (2014).
Mixed Moore Cayley graphs. (English) Zbl 1337.05031
Rodríguez Velázques, Juan Alberto (ed.) et al., Extended abstracts of the IX “Jornadas de matemática discreta y algorítmica” (JMDA), Tarragona, Spain, July 7–9, 2014. Amsterdam: Elsevier. Electronic Notes in Discrete Mathematics 46, 193-200, electronic only (2014).
Laplacian matrix of a weighted graph with new pendant vertices. (English) Zbl 1338.05111
Rodríguez Velázques, Juan Alberto (ed.) et al., Extended abstracts of the IX “Jornadas de matemática discreta y algorítmica” (JMDA), Tarragona, Spain, July 7–9, 2014. Amsterdam: Elsevier. Electronic Notes in Discrete Mathematics 46, 129-136, electronic only (2014).
Incremental computation of pseudo-inverse of Laplacian. (English) Zbl 1433.15008
Zhang, Zhao (ed.) et al., Combinatorial optimization and applications. 8th international conference, COCOA 2014, Wailea, Maui, HI, USA, December 19–21, 2014. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 8881, 729-749 (2014).
Cayley graphs of diameter two and any degree with order half of the Moore bound. (English) Zbl 1298.05154
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