Add to ORKGLet $h(G)$ denote the largest $t$ such that $G$ contains $K_t$ as a minor, $\chi(G)$ the chromatic number of $G$ respectively. In 1943, Hadwiger conjectured that $h(G) \geq \chi(G)$ for any graph $G$. In this paper, we will prove Hadwiger's Conjecture holds for $H$-free graphs with independence number two, where $H$ is any one of some given graphs.Comment: 14 pages, 3 figure
The classical Hadwiger conjecture dating back to 1940s states that any graph of chromatic number at ...
Hadwiger's conjecture, among the most famous open problems in graph theory, states that every graph ...
The Hadwiger number h(G) of a graph G is the maximum integer t such that K-t is a minor of G. Since ...
Let $h(G)$ denote the largest $t$ such that $G$ contains $K_t$ as a minor, $\chi(G)$ the chromatic n...
In 1943, Hadwiger conjectured that every graph with no $K_t$ minor is $(t-1)$-colorable for every $t...
Hadwiger's Conjecture seems difficult to attack, even in the very special case of graphs G of indepe...
The Hadwiger number h(G) of a graph G is the maximum integer f such that Kt is a minor of G. Since ξ...
AbstractA weakening of Hadwiger’s conjecture states that every n-vertex graph with independence numb...
Given a graph G, the Hadwiger number of G, denoted by h(G), is the largest integer κ such that G con...
Graph theory is the study of graphs that represent a specific relation between pairs of objects from...
We say that H has an odd complete minor of order at least l if there are l vertex disjoint trees in ...
The Hadwiger number h(G) of a graph G is the maximum size of a complete minor of G. Hadwiger's Conje...
We propose local versions of Hadwiger's Conjecture, where only balls of radius $\Omega(\log v(G))$ a...
AbstractThe Hadwiger number η(G) of a graph G is the largest integer h such that the complete graph ...
AbstractHadwigerʼs conjecture states that every graph with chromatic number χ has a clique minor of ...
The classical Hadwiger conjecture dating back to 1940s states that any graph of chromatic number at ...
Hadwiger's conjecture, among the most famous open problems in graph theory, states that every graph ...
The Hadwiger number h(G) of a graph G is the maximum integer t such that K-t is a minor of G. Since ...
Let $h(G)$ denote the largest $t$ such that $G$ contains $K_t$ as a minor, $\chi(G)$ the chromatic n...
In 1943, Hadwiger conjectured that every graph with no $K_t$ minor is $(t-1)$-colorable for every $t...
Hadwiger's Conjecture seems difficult to attack, even in the very special case of graphs G of indepe...
The Hadwiger number h(G) of a graph G is the maximum integer f such that Kt is a minor of G. Since ξ...
AbstractA weakening of Hadwiger’s conjecture states that every n-vertex graph with independence numb...
Given a graph G, the Hadwiger number of G, denoted by h(G), is the largest integer κ such that G con...
Graph theory is the study of graphs that represent a specific relation between pairs of objects from...
We say that H has an odd complete minor of order at least l if there are l vertex disjoint trees in ...
The Hadwiger number h(G) of a graph G is the maximum size of a complete minor of G. Hadwiger's Conje...
We propose local versions of Hadwiger's Conjecture, where only balls of radius $\Omega(\log v(G))$ a...
AbstractThe Hadwiger number η(G) of a graph G is the largest integer h such that the complete graph ...
AbstractHadwigerʼs conjecture states that every graph with chromatic number χ has a clique minor of ...
The classical Hadwiger conjecture dating back to 1940s states that any graph of chromatic number at ...
Hadwiger's conjecture, among the most famous open problems in graph theory, states that every graph ...
The Hadwiger number h(G) of a graph G is the maximum integer t such that K-t is a minor of G. Since ...