Results 291 to 300 of about 2,991,925 (319)

On Planar Graphical Degree Sequences

SIAM Journal on Applied Mathematics, 1977
We determine completely which graphical sequences $d_1 \geqq d_2 \geqq \cdots \geqq d_p $ with $d_1 - d_p = 1$ are planar graphical, and with a small number of exceptions determine the same result when $d_1 - d_p = 2$.We also give simple necessary conditions (in the form of upper bounds on $\sum\nolimits_{i = 1}^k {di} $) for a graphical sequence to be
E. F. Schmeichel, S. L. Hakimi
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Line‐graphical degree sequences

Journal of Graph Theory, 1980
AbstractA degree sequence π = (d1, d2,…,dp), with d1 ≥ d2 ≥…≥ dp, is line graphical if it is realized by the line graph of some graph. Degree sequences with line‐graphical realizations are characterized for the cases d1 = p ‐ 1, d1 = p ‐ 2, d1 ≤ 3, and d1 = dp.
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Degrees of types and independent sequences

Journal of Symbolic Logic, 1983
The theories considered here are countable and complete, and the types are all complete too. Let T be an L-theory. A sequence σ = (σn(ν))n∈ω of L-formulas is said to be independent (with respect to T) if for each α ∈ 2<ω, the sentenceis in T. As an example, let T = Th(Z, +), and let σ be the sequence of formulas saying (in the language of groups) ν ...
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Enumeration of graphs by degree sequence

Journal of Graph Theory, 1979
AbstractThe degree sequence (d0, d1, …, dp‐1) of a graph G of order p is defined by dk = the number of points of G of degree k. Methods of Robinson are extended to produce a generating function F(x0, x1, x2, …) where the coefficient of x…x is the number of graphs of order p having degree sequence (d0, …, dp‐1).
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Subgraphs and Their Degree Sequences of a Digraph

Journal of the Franklin Institute, 1980
Abstract The paper presents general conditions that are necessary and sufficient for the existence of a (p,s) subgraph with prescribed degrees of a given digraph. It is shown that the subgraph problem of a digraph, the degree sequence problem of a digraph, the subgraph problem of a graph and the degree sequence problem of a graph can all be treated ...
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Cancer epigenetics in clinical practice

Ca-A Cancer Journal for Clinicians, 2023
Veronica Davalos, Manel Esteller
exaly  

Systemic therapy for hormone receptor‐positive/human epidermal growth factor receptor 2‐negative early stage and metastatic breast cancer

Ca-A Cancer Journal for Clinicians, 2023
Laura A Huppert, Hope S Rugo
exaly  

Planning for post‐pandemic cancer care delivery: Recovery or opportunity for redesign?

Ca-A Cancer Journal for Clinicians, 2021
Pelin Cinar, Daniela A Bota, Kathryn A Gold   +2 more
exaly  

Graphs and degree sequences. I

Cybernetics, 1988
Zh. A. Chernyak, R. I. Tyshkevich, A. A. Chernyak   +2 more
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The rapidly changing landscape in mature T‐cell lymphoma (MTCL) biology and management

Ca-A Cancer Journal for Clinicians, 2020
Enrica Marchi
exaly