Proving conditions for a connected graph with n verticies [closed] Announcing the arrival of Valued Associate #679: Cesar Manara Planned maintenance scheduled April 17/18, 2019 at 00:00UTC (8:00pm US/Eastern)Proving that a “prime graph” is connectedProving a graph must be connectedExistence of $K_3$ in a graph with $(n^2+1)$ edgesEvery nonhamiltonian 2-connected graph has a theta subgraphShow a simple, no loop, 3 connected graph for which $min(deg(v))> text edge connectivity > text vertex- connectivity $Number of unique paths in a complete graph with n verticiesShow that if any $k+1$ vertices of $k-$connected graph with at least 3 vertices span at least one-edge, then the graph is hamiltonian.Graph Theory Questions With Connected GraphsProving that the set of maximal-degree vertices of a Graph result in a matching for all verticesA simple connected graph on 100 vertices has 102 edges. Show that…

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Proving conditions for a connected graph with n verticies [closed]



Announcing the arrival of Valued Associate #679: Cesar Manara
Planned maintenance scheduled April 17/18, 2019 at 00:00UTC (8:00pm US/Eastern)Proving that a “prime graph” is connectedProving a graph must be connectedExistence of $K_3$ in a graph with $(n^2+1)$ edgesEvery nonhamiltonian 2-connected graph has a theta subgraphShow a simple, no loop, 3 connected graph for which $min(deg(v))> text edge connectivity > text vertex- connectivity $Number of unique paths in a complete graph with n verticiesShow that if any $k+1$ vertices of $k-$connected graph with at least 3 vertices span at least one-edge, then the graph is hamiltonian.Graph Theory Questions With Connected GraphsProving that the set of maximal-degree vertices of a Graph result in a matching for all verticesA simple connected graph on 100 vertices has 102 edges. Show that…










0












$begingroup$


Question asked with proper formatting:



Show that if G is a connected graph with n vertices, then for x ∈ (0, 1), (−1)n−1pG(x) > 0.



This question appeared on my Graph theory midterm and I didn't really know
how to approach solving it. Any tips on how to start and approach this problem would be greatly appreciated. Thanks in advance!










share|cite|improve this question











$endgroup$



closed as unclear what you're asking by Maria Mazur, Mike, Lee David Chung Lin, Cesareo, YiFan Apr 9 at 7:21


Please clarify your specific problem or add additional details to highlight exactly what you need. As it's currently written, it’s hard to tell exactly what you're asking. See the How to Ask page for help clarifying this question. If this question can be reworded to fit the rules in the help center, please edit the question.

















  • $begingroup$
    Can you write the formula using LaTeX inside the question and not in the title. Is pretty hard to see the question. No idea what is $p$ or what do you mean by $G(x).$
    $endgroup$
    – Phicar
    Apr 8 at 19:39










  • $begingroup$
    Edited and added the right formatting for the question.
    $endgroup$
    – Davyd Rickmann
    Apr 8 at 20:20






  • 2




    $begingroup$
    Which polynomial is $p_G$?
    $endgroup$
    – Phicar
    Apr 8 at 20:24










  • $begingroup$
    Please edit again and use the commands shown here to properly format math expressions.
    $endgroup$
    – Lee David Chung Lin
    Apr 9 at 0:50
















0












$begingroup$


Question asked with proper formatting:



Show that if G is a connected graph with n vertices, then for x ∈ (0, 1), (−1)n−1pG(x) > 0.



This question appeared on my Graph theory midterm and I didn't really know
how to approach solving it. Any tips on how to start and approach this problem would be greatly appreciated. Thanks in advance!










share|cite|improve this question











$endgroup$



closed as unclear what you're asking by Maria Mazur, Mike, Lee David Chung Lin, Cesareo, YiFan Apr 9 at 7:21


Please clarify your specific problem or add additional details to highlight exactly what you need. As it's currently written, it’s hard to tell exactly what you're asking. See the How to Ask page for help clarifying this question. If this question can be reworded to fit the rules in the help center, please edit the question.

















  • $begingroup$
    Can you write the formula using LaTeX inside the question and not in the title. Is pretty hard to see the question. No idea what is $p$ or what do you mean by $G(x).$
    $endgroup$
    – Phicar
    Apr 8 at 19:39










  • $begingroup$
    Edited and added the right formatting for the question.
    $endgroup$
    – Davyd Rickmann
    Apr 8 at 20:20






  • 2




    $begingroup$
    Which polynomial is $p_G$?
    $endgroup$
    – Phicar
    Apr 8 at 20:24










  • $begingroup$
    Please edit again and use the commands shown here to properly format math expressions.
    $endgroup$
    – Lee David Chung Lin
    Apr 9 at 0:50














0












0








0


0



$begingroup$


Question asked with proper formatting:



Show that if G is a connected graph with n vertices, then for x ∈ (0, 1), (−1)n−1pG(x) > 0.



This question appeared on my Graph theory midterm and I didn't really know
how to approach solving it. Any tips on how to start and approach this problem would be greatly appreciated. Thanks in advance!










share|cite|improve this question











$endgroup$




Question asked with proper formatting:



Show that if G is a connected graph with n vertices, then for x ∈ (0, 1), (−1)n−1pG(x) > 0.



This question appeared on my Graph theory midterm and I didn't really know
how to approach solving it. Any tips on how to start and approach this problem would be greatly appreciated. Thanks in advance!







combinatorics graph-theory connectedness






share|cite|improve this question















share|cite|improve this question













share|cite|improve this question




share|cite|improve this question








edited Apr 8 at 20:20







Davyd Rickmann

















asked Apr 8 at 19:06









Davyd RickmannDavyd Rickmann

263




263




closed as unclear what you're asking by Maria Mazur, Mike, Lee David Chung Lin, Cesareo, YiFan Apr 9 at 7:21


Please clarify your specific problem or add additional details to highlight exactly what you need. As it's currently written, it’s hard to tell exactly what you're asking. See the How to Ask page for help clarifying this question. If this question can be reworded to fit the rules in the help center, please edit the question.









closed as unclear what you're asking by Maria Mazur, Mike, Lee David Chung Lin, Cesareo, YiFan Apr 9 at 7:21


Please clarify your specific problem or add additional details to highlight exactly what you need. As it's currently written, it’s hard to tell exactly what you're asking. See the How to Ask page for help clarifying this question. If this question can be reworded to fit the rules in the help center, please edit the question.













  • $begingroup$
    Can you write the formula using LaTeX inside the question and not in the title. Is pretty hard to see the question. No idea what is $p$ or what do you mean by $G(x).$
    $endgroup$
    – Phicar
    Apr 8 at 19:39










  • $begingroup$
    Edited and added the right formatting for the question.
    $endgroup$
    – Davyd Rickmann
    Apr 8 at 20:20






  • 2




    $begingroup$
    Which polynomial is $p_G$?
    $endgroup$
    – Phicar
    Apr 8 at 20:24










  • $begingroup$
    Please edit again and use the commands shown here to properly format math expressions.
    $endgroup$
    – Lee David Chung Lin
    Apr 9 at 0:50

















  • $begingroup$
    Can you write the formula using LaTeX inside the question and not in the title. Is pretty hard to see the question. No idea what is $p$ or what do you mean by $G(x).$
    $endgroup$
    – Phicar
    Apr 8 at 19:39










  • $begingroup$
    Edited and added the right formatting for the question.
    $endgroup$
    – Davyd Rickmann
    Apr 8 at 20:20






  • 2




    $begingroup$
    Which polynomial is $p_G$?
    $endgroup$
    – Phicar
    Apr 8 at 20:24










  • $begingroup$
    Please edit again and use the commands shown here to properly format math expressions.
    $endgroup$
    – Lee David Chung Lin
    Apr 9 at 0:50
















$begingroup$
Can you write the formula using LaTeX inside the question and not in the title. Is pretty hard to see the question. No idea what is $p$ or what do you mean by $G(x).$
$endgroup$
– Phicar
Apr 8 at 19:39




$begingroup$
Can you write the formula using LaTeX inside the question and not in the title. Is pretty hard to see the question. No idea what is $p$ or what do you mean by $G(x).$
$endgroup$
– Phicar
Apr 8 at 19:39












$begingroup$
Edited and added the right formatting for the question.
$endgroup$
– Davyd Rickmann
Apr 8 at 20:20




$begingroup$
Edited and added the right formatting for the question.
$endgroup$
– Davyd Rickmann
Apr 8 at 20:20




2




2




$begingroup$
Which polynomial is $p_G$?
$endgroup$
– Phicar
Apr 8 at 20:24




$begingroup$
Which polynomial is $p_G$?
$endgroup$
– Phicar
Apr 8 at 20:24












$begingroup$
Please edit again and use the commands shown here to properly format math expressions.
$endgroup$
– Lee David Chung Lin
Apr 9 at 0:50





$begingroup$
Please edit again and use the commands shown here to properly format math expressions.
$endgroup$
– Lee David Chung Lin
Apr 9 at 0:50











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