Definition of an abstract, combinatorial graph
up vote
0
down vote
favorite
I have $0$ background in graph theory. I was recently reading an overview/history article of loop quantum gravity here: And in Appendix A, we state that, among other things, a basis state in the Hilbert space for LQG is characterized by a (abstract, combinatorial graph). I am looking for a precise mathematical definition of these terms (tried googling around but couldn't find anything concrete), or if I need a lot of background to understand it, maybe a text recommendation at an introductory level.
graph-theory mathematical-physics
asked Dec 2 at 5:30
staedtlerr
1064
add a comment |
up vote
0
down vote
favorite
I have $0$ background in graph theory. I was recently reading an overview/history article of loop quantum gravity here: And in Appendix A, we state that, among other things, a basis state in the Hilbert space for LQG is characterized by a (abstract, combinatorial graph). I am looking for a precise mathematical definition of these terms (tried googling around but couldn't find anything concrete), or if I need a lot of background to understand it, maybe a text recommendation at an introductory level.
graph-theory mathematical-physics
asked Dec 2 at 5:30
staedtlerr
1064
add a comment |
up vote
0
down vote
favorite
up vote
0
down vote
favorite
I have $0$ background in graph theory. I was recently reading an overview/history article of loop quantum gravity here: And in Appendix A, we state that, among other things, a basis state in the Hilbert space for LQG is characterized by a (abstract, combinatorial graph). I am looking for a precise mathematical definition of these terms (tried googling around but couldn't find anything concrete), or if I need a lot of background to understand it, maybe a text recommendation at an introductory level.
graph-theory mathematical-physics
asked Dec 2 at 5:30
staedtlerr
1064
I have $0$ background in graph theory. I was recently reading an overview/history article of loop quantum gravity here: And in Appendix A, we state that, among other things, a basis state in the Hilbert space for LQG is characterized by a (abstract, combinatorial graph). I am looking for a precise mathematical definition of these terms (tried googling around but couldn't find anything concrete), or if I need a lot of background to understand it, maybe a text recommendation at an introductory level.
graph-theory mathematical-physics
graph-theory mathematical-physics
asked Dec 2 at 5:30
staedtlerr
1064
asked Dec 2 at 5:30
staedtlerr
1064
asked Dec 2 at 5:30
staedtlerr
1064
asked Dec 2 at 5:30
staedtlerr
1064
asked Dec 2 at 5:30
staedtlerr
1064
1064
add a comment |
add a comment |
1 Answer
1
active
oldest
votes
up vote
0
down vote
I think you may relax, because, as far as I know, by an abstract, combinatorial graph is understood
a usual graph. The words abstract and combinatorial belong not to a formal mathematical definition, but remark that we consider a graph as a set of vertices and edges, and we are not tied to its concrete realization, for instance, to a drawing on a plane.
answered Dec 3 at 3:44
Alex Ravsky
37.3k32079
add a comment |
1 Answer
1
active
oldest
votes
1 Answer
1
active
oldest
votes
active
oldest
votes
active
oldest
votes
up vote
0
down vote
I think you may relax, because, as far as I know, by an abstract, combinatorial graph is understood
a usual graph. The words abstract and combinatorial belong not to a formal mathematical definition, but remark that we consider a graph as a set of vertices and edges, and we are not tied to its concrete realization, for instance, to a drawing on a plane.
answered Dec 3 at 3:44
Alex Ravsky
37.3k32079
add a comment |
up vote
0
down vote
I think you may relax, because, as far as I know, by an abstract, combinatorial graph is understood
a usual graph. The words abstract and combinatorial belong not to a formal mathematical definition, but remark that we consider a graph as a set of vertices and edges, and we are not tied to its concrete realization, for instance, to a drawing on a plane.
answered Dec 3 at 3:44
Alex Ravsky
37.3k32079
add a comment |
up vote
0
down vote
up vote
0
down vote
I think you may relax, because, as far as I know, by an abstract, combinatorial graph is understood
a usual graph. The words abstract and combinatorial belong not to a formal mathematical definition, but remark that we consider a graph as a set of vertices and edges, and we are not tied to its concrete realization, for instance, to a drawing on a plane.
answered Dec 3 at 3:44
Alex Ravsky
37.3k32079
I think you may relax, because, as far as I know, by an abstract, combinatorial graph is understood
a usual graph. The words abstract and combinatorial belong not to a formal mathematical definition, but remark that we consider a graph as a set of vertices and edges, and we are not tied to its concrete realization, for instance, to a drawing on a plane.
answered Dec 3 at 3:44
Alex Ravsky
37.3k32079
answered Dec 3 at 3:44
Alex Ravsky
37.3k32079
answered Dec 3 at 3:44
Alex Ravsky
37.3k32079
answered Dec 3 at 3:44
Alex Ravsky
37.3k32079
37.3k32079
add a comment |
add a comment |
Thanks for contributing an answer to Mathematics Stack Exchange!
- Please be sure to answer the question. Provide details and share your research!
But avoid …
- Asking for help, clarification, or responding to other answers.
- Making statements based on opinion; back them up with references or personal experience.
Use MathJax to format equations. MathJax reference.
To learn more, see our tips on writing great answers.
Some of your past answers have not been well-received, and you're in danger of being blocked from answering.
Please pay close attention to the following guidance:
- Please be sure to answer the question. Provide details and share your research!
But avoid …
- Asking for help, clarification, or responding to other answers.
- Making statements based on opinion; back them up with references or personal experience.
To learn more, see our tips on writing great answers.
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
StackExchange.ready(
function () {
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3022276%2fdefinition-of-an-abstract-combinatorial-graph%23new-answer', 'question_page');
}
);
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
