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Theoretical computer science, ISSN 0304-3975, 2019, Volume 776, pp. 64 - 74
.... We also address the problem of finding a function g(k1,k2) such that the (δ≥k1,δ≥k2)-partition problem is NP-complete for the class of graphs of minimum degree less than g(k1,k2... 
2-partition | Minimum degree | [formula omitted]-complete | Polynomial time | NP-complete | Computer science | Logic | Mathematics
Journal Article
Discrete Applied Mathematics, ISSN 0166-218X, 04/2016, Volume 203, pp. 217 - 225
.... In a recent paper (Du et al., 2015), the Cact(n;t) with minimum degree resistance distance was characterized... 
Degree resistance distance | Kirchhoff index | Resistance distance | Cactus | MATHEMATICS, APPLIED | ENERGY | DEGREE-KIRCHHOFF INDEX | REGULAR GRAPHS | FORMULA | MINIMUM | LOWER BOUNDS | RANDOM-WALKS | LATTICES | SUBDIVISIONS | TOPOLOGICAL INDEXES | Errors | Mathematical analysis | Cacti | Blocking | Paper | Graphs | Graph theory
Journal Article
Bulletin of the Australian Mathematical Society, ISSN 0004-9727, 04/2013, Volume 87, Issue 2, pp. 255 - 271
Let G be a finite connected graph of order n, minimum degree δ and diameter d. The degree distance D′(G... 
diameter | minimum degree | degree distance | GRAPH | MATHEMATICS | MOLECULAR TOPOLOGICAL INDEX | WIENER INDEX
Journal Article
Discrete Applied Mathematics, ISSN 0166-218X, 01/2014, Volume 162, pp. 108 - 114
...)≤b, for every vertex x in C. Given an integer b≥4, we show that a graph G with minimum degree δ... 
Pseudo [formula omitted]-factor | Independence number | Minimum degree | Pseudo [ 2, b ] -factor | MATHEMATICS, APPLIED | Pseudo [2, b]-factor | Integers | Mathematical analysis | Graphs
Journal Article
Proceedings of the London Mathematical Society, ISSN 0024-6115, 07/2014, Volume 109, Issue 1, pp. 1 - 39
The Turing degree of a real measures the computational difficulty of producing its binary expansion... 
RANDOMNESS | MATHEMATICS | COVER | MINIMAL DEGREES | EXTENSIONS | PI CLASSES | PROPERTY | SETS | GENERIC DEGREES | 1-GENERIC DEGREE | UNSOLVABILITY | Randomness | Mathematical models | Logic | Computation | Categories | Standards
Journal Article
ACM Transactions on Mathematical Software (TOMS), ISSN 0098-3500, 09/2004, Volume 30, Issue 3, pp. 381 - 388
AMD is a set of routines that implements the approximate minimum degree ordering algorithm to permute sparse matrices prior to numerical factorization... 
minimum degree | Linear equations | ordering methods | sparse matrices | Performance | Experimentation | Algorithms | COMPUTER SCIENCE, SOFTWARE ENGINEERING | MATHEMATICS, APPLIED | QUALITY | BOTTOM-UP | Computer programming
Journal Article
Advances in Mathematics, ISSN 0001-8708, 04/2017, Volume 310, pp. 663 - 695
...]. For surfaces of minimal degree and wild CM type, we classify rigid Ulrich bundles as Fibonacci extensions... 
MCM modules | Tame CM type | Varieties of minimal degree | ACM bundles | Ulrich bundles | MATHEMATICS | BUNDLES | RINGS | VARIETIES | Mathematics
Journal Article
SIAM Journal on Computing, ISSN 0097-5397, 2018, Volume 47, Issue 3, pp. 755 - 768
... (the expected number of steps it takes to visit all vertices) is at most O(n(3)). We consider locally biased random walks, in which the probability of traversing an edge depends on the degrees of its endpoints... 
Cyclic cover time | Reversible Markov chain | Locally biased random walk | Minimum weight spanning tree | locally biased random walk | MATHEMATICS, APPLIED | cyclic cover time | reversible Markov chain | COMPUTER SCIENCE, THEORY & METHODS | minimum weight spanning tree | GRAPHS
Journal Article
Journal of Combinatorial Theory, Series B, ISSN 0095-8956, 01/2018, Volume 128, pp. 66 - 95
There has been extensive research on cycle lengths in graphs with large minimum degree... 
Cycles of consecutive lengths | Minimum degree | Thomassen's conjecture | Cycle length modulo k | MATHEMATICS | CHROMATIC NUMBER
Journal Article
Discrete Applied Mathematics, ISSN 0166-218X, 2011, Volume 159, Issue 8, pp. 779 - 788
Let G be a connected graph with vertex set V ( G ) . The degree distance of G is defined as D ′ ( G ) = ∑ { u , v } ⊆ V ( G ) ( deg G ( u ) + deg G ( v ) ) d ( u , v ) , where deg G ( u... 
Bicyclic graph | Wiener index | Girth | Degree distance | MATHEMATICS, APPLIED | MOLECULAR TOPOLOGICAL INDEX | MINIMUM DEGREE DISTANCE | Graphs | Mathematical analysis | Triangles | Images
Journal Article
Journal of Graph Theory, ISSN 0364-9024, 05/2018, Volume 88, Issue 1, pp. 211 - 221
...). The immersion is strong if the paths Puv are internally disjoint from ϕ(V(H)). We prove that every simple graph of minimum degree at least 11t+... 
minimum degree | immersion | MATHEMATICS | NUMBER | CONJECTURE
Journal Article
Journal of Graph Theory, ISSN 0364-9024, 08/2017, Volume 85, Issue 4, pp. 780 - 787
.... We consider the following extremal enumerative question: for a given H, which connected n‐vertex graph with minimum degree δ... 
minimum degree | proper coloring | graph homomorphism | H‐coloring | k‐connected | H-coloring | k-connected | MATHEMATICS | NUMBER
Journal Article
Discrete Mathematics, ISSN 0012-365X, 11/2019, Volume 342, Issue 11, pp. 3225 - 3228
...,…,t}. In this article, we show that if the minimum degree of an n-vertex graph G is at least n... 
Connectivity | Contraction-critical graphs | Minimum degree | Graph linkage | MATHEMATICS | COUNTEREXAMPLES
Journal Article
Applied soft computing, ISSN 1568-4946, 2017, Volume 56, pp. 580 - 588
.... Uncertainty theory has shown great advantages in solving many nondeterministic problems, one of which is the degree-constrained minimum spanning tree (DCMST... 
Genetic algorithm | Degree-constrained minimum spanning tree | Uncertainty theory | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE
Journal Article
Discrete Applied Mathematics, ISSN 0166-218X, 2015, Volume 188, Issue 1, pp. 16 - 24
.... The degree resistance distance of a graph G is defined as DR(G)=∑{u,v}⊆V(G)[d(u)+d(v)]R(u,v), where d(u) is the degree of the vertex u, and R... 
Resistance distance | Degree resistance distance | Cactus | MINIMUM | MATHEMATICS, APPLIED | KIRCHHOFF INDEX | RESPECT | WIENER INDEX | SUBDIVISIONS | GRAPHS
Journal Article
Networks, ISSN 0028-3045, 12/2016, Volume 68, Issue 4, pp. 302 - 314
Journal Article
Discrete Applied Mathematics, ISSN 0166-218X, 2019, Volume 260, pp. 117 - 130
... is the minimum degree of the graph. We strengthen this bound by showing that equality cannot be attained and that the bound is sharp. If diam(G)≥3 then we further improve the bound to π∗(G)≤3.75nδ+1. On the other hand, we show that, for arbitrary large diameter and any ϵ>0, there are infinitely many graphs whose optimal pebbling number is bigger than 83−ϵn(δ+1). 
Graph pebbling | Given minimum degree | Optimal pebbling | MATHEMATICS, APPLIED | Analysis | Numerical analysis | Graphs | Orange peel
Journal Article