Number of cliques in graphs with a forbidden - MIT Mathematics
NUMBER OF CLIQUES IN GRAPHS WITH A. FORBIDDEN SUBDIVISION. CHOONGBUM LEE AND SANG-IL OUM. Abstract. We prove that for all positive ...
Number of cliques in graphs with forbidden minor - CiteSeerX
Jul 29, 2014 ... NUMBER OF CLIQUES IN GRAPHS WITH FORBIDDEN MINOR. 3 remaining graph at that time. Since the neighborhood of vi is Kt−1.
Complexity Results on Graphs with Few Cliques - DMTCS
A graph class has few cliques if there is a polynomial bound on the number of .... he considers classes of graphs having Ot as a forbidden induced subgraph, ...
Dominating cliques in graphs - ScienceDirect
A forbidden subgraph characterization is given for a class of graphs that have a ... The domination number of a graph G is the minimum number of vertices in a ...
On the number of cliques in graphs with a forbidden minor (PDF
Even more generally, we determine explicitly the exponential constant for the maximum number of cliques an n-vertex graph can have in a minor-closed family ...
Cliques in Graphs Excluding a Complete Graph Minor
Nov 17, 2015 ... This paper considers the following question: What is the maximum number of k- cliques in an n-vertex graph with no Kt-minor? This question ...
Coloring graphs with forbidden induced sub- graphs
k ≥ 4, and that is the case of 4-coloring graphs with no induced 6-vertex path. However, ..... The clique number of G, denoted by ω(G), is the largest size.
The typical structure of graphs with no large cliques
for work on other forbidden subgraphs, and [8, 20] for a sparse analogue. ... where tr(n) = ex(n, Kr+1) denotes the number of edges of the Turán graph, the r- ...
Kr free BBCLMS final.pdf
Graph Theory Notes - University of Warwick
clique in G is called the clique number of G and is denoted ω(G). • A set of ... A graph G is a minimal forbidden induced subgraph for a hereditary class X if.
COLORING THE MAXIMAL CLIQUES OF GRAPHS∗ 1. Introduction
graph is 3-clique-colorable; on the other hand, there is no example of a ... that find the clique-chromatic number for some classes of graphs and prove ...... Most of our results concern classes of graphs defined by forbidden configurations.
12 Graph Minors - Jeff Erickson
in J. A forbidden minor H of J is minimal if no proper minor of H is also a forbidden ..... that any H-minor-free graph is a k-clique sum of a finite number of k- apex ...
On bounding the difference of the maximum degree and the clique
Given the clique number ω and the maximum degree ∆ of a graph, necessarily ... Let Φk be the set of minimal forbidden induced subgraphs of Ωk. Hence for.
Partitioning chordal graphs into independent sets and cliques - UFF
split graphs, from which it is easy to derive the well known forbidden ... subgraphs ) equals the minimum number of cliques of G that meet all the Kr's of G. ?
1 Introduction - East-West Journal of Mathematics
The clique-chromatic number of a graph is the least number of colors on the vertices ... 2003 suggests that the family of claw-free graphs has no bounded clique- ..... forbidden structure, Les cahiers du laboratoire Leibniz, 83 (2003) (http ://www-.
Partial characterizations of clique-perfect graphs - Universidad de
clique-transversal number and clique-independence number of G are the sizes of a ... characterize clique-perfect graphs by a restricted list of forbidden induced ...
Local Structure: Forbidden Subgraphs II - Rutgers University
Local Structure: Forbidden Subgraphs II ... As we will see, Turan numbers can have very different ... Again, the extremal graph is the disjoint union of k-cliques.
A problem of Erd˝os on the minimum number of k-cliques
many cliques of size k a graph must have when its independence number is less ..... a graph is admissible if it contains no induced copies of the forbidden graph.
Partial characterizations of clique-perfect and coordinated graphs
graphs. A graph G is coordinated if the chromatic number of the clique graph ... graphs by minimal forbidden induced subgraphs when the graph is either paw- ...
Towards an Isomorphism Dichotomy for Hereditary Graph Classes
of the graph classes characterized by two forbidden induced subgraphs. To this .... bounded clique number with a fixed forbidden double star can be solved in ...
Obstructions to chordal circular-arc graphs of small independence
Keywords: circular-arc graph, chordal graph, asteroidal triple, clique tree, .... Fig. 1. Forbidden induced subgraph characterization of chordal graphs with no BQs.
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